Let's play Zendo via forum!
Look near the end of this thread for the game in progress.
Rules of Forum ZendoGuess the secret rule about which koans have the buddha nature.
A
koan is a nonempty finite string of letters A-Z. At the start of the game, the master thinks of a secret rule, then posts a white koan (that has the buddha nature) and a black koan (that
doesn't have the buddha nature).
To play,
- post some more koans,
- and/or guess what the rule is.
The master will mark everybody's koans white or black in public. This gives everybody new information on what the secret rule might be. To answer your rule guesses, the master will post a counterexample koan, i.e., a koan that is marked differently according to your rule guess and the master's actual rule.
There are no turns. Play as often as you like. Don't wait for the master to post, you can post immediately after other players, or even after yourself. You can join running games on the fly!
To win, guess the rule correctly.
Finer details of rulesThe secret rule defines a subset of the koanspace. The koanspace is the set of nonempty finite strings over the alphabet A-Z. The secret rule cannot depend on post number, poster name, what other koans have been posted, etc. It
may depend on outside knowledge, such as level names, as long as an equivalent rule could be defined
without outside knowledge: "A koan has the buddha nature iff it is one of the following finite list: JUSTDIG, ONLYFLOATERSMAYSURVIVETHIS, [...,] RENDEZVOUSATTHEMOUNTAIN."
To win, your guessed rule must be functionally equivalent to the master's secret rule. Rules are functionally equivalent iff for each koan, both rules mark it the same, i.e., the master cannot show you a counterexample. Your guess doesn't have to match the master's exact
wording of the rule.
There is no hard limit on how many koans you can test at once.
The master, however, may reject koans at his personal discretion. For example, it would be outside the spirit of the game if a player opened every round with the same stock list of 1,000 koans.
See Also- List of secret rules already played (https://www.lemmingsforums.net/index.php?msg=104032)
- zendofmt, Simon's koan formatter (https://www.lemmingsforums.net/index.php?msg=104018)
- Here, add namida's koan formatter that is not tied to a specific secret rule?
Forum Zendo is inspired by the tabletop game Zendo:
- The designer's homepage (http://www.koryheath.com/zendo/)
- Tips for the master by the designer (http://www.koryheath.com/zendo/tips-for-the-master/): If you think your rule is too easy, then it's just right.
-- Simon
New game of Zendo
Initial white koan: LEMMINGS (this follows the secret rule)
Initial black koan: CHEAPO (this doesn't follow the rule)
Post more koans or guesses about the rule.
-- Simon
Guesses based on likely not quite right logic:
DIGGER (guessing white)
LIX (guessing black)
PSYGNOSIS (...?)
DIGGER white! (guessing white, correct intuition)
LIX black! (guessing black, even more so)
PSYGNOSIS white!
-- Simon
Rule get (confirmed on IRC):
The string has the Buddha nature iff it has two or more of the same character.
Next round:
The string INSANE gets a white token (follows the rule)
The string STEVE gets a black token (does not follow the rule)
ZSTEVE
ZZSTEVE
INSANZ
INSAZZ
-- Simon
ZSTEVE
ZZSTEVE
INSANZ
INSAZZ
-- Simon
All receive black tokens (do not follow the rule).
A
INSANEINSANE
ZINSANEZ
YISTHEREATREE
-- Simon
A
INSANEINSANE
ZINSANEZ
YISTHEREATREE
-- Simon
A and INSANEINSANE get a white token, as they follow the rule. ZINSANEZ and YISTHEREATREE get black tokens and do not follow this rule.
I suspect you probably know what the rule could be from your guesses.
A koan has the buddha nature iff the first letter is a vowel (AEIOU) and the last letter is a vovel.
-- Simon
A koan has the buddha nature iff the first letter is a vowel (AEIOU) and the last letter is a vovel.
-- Simon
This is not a correct guess. INEXPLICABLE follows this rule but gets a black marker, as it doesn't have the Buddha nature.
Here's some more koans, wild shots into the blue, maybe enticing others to join!
AEI
AEIOU
IMEMBLICABLE
ASIMPLEONE
IVERYLONGVERYLONGE
TESTTESTAEI
TESTTESTAEIO
TESTTESTAEIOU
-- Simon
AEI and AEIOU have the Buddha nature and get a white token.
IMEMBLICABLE, ASIMPLEONE, and IVERYLONGVERYLONGE do not and get a black token.
EDIT: TESTTESTAEI does not have the Buddha nature (black/wrong) but TESTTESTAEIO and TESTTESTAEIOU do (white/right).
AKHTBN iff it consists of 50 % vowels (AEIOU) or more.
This was confirmed in IRC by Steve, so I offer anyone to master now. :-)
YISTHEREATREE was posted only with the start-vowel-end-vowel rule in mind, testing whether Y would be a vowel for that, and then it worked just as well towards the new rule without intention.
-- Simon
New game of Zendo
Initial white koan: SIMON (this follows the secret rule)
Initial black koan: GEOO (this doesn't follow the rule)
Let's continue the koan trend

RAMON
SIMOON
GEON
CCX
-- Simon
IMONS
S
I
M
O
N
==================
In general, what (if any) are the restrictions on what the secret rule may be based on? For example I assume given the exact same koan (ie. the arrangement and choice of letters) , its Buddha nature is constant regardless of, for example, the number of posts that have transpired? Can the secret rule be based on "outside knowledge" like "appear in the title of a level in Lemmings" or similar? etc.
RAMON - black
SIMOON - white
GEON - black
CCX - white
IMONS - white
S - white
I - white
M - white
O - white
N - white
MON
OON
ON
GOON
E
EON
ccexplore: The rule defines a subset of the koanspace. The koanspace is the set of nonempty finite strings over the alphabet A-Z, so it cannot depend on post number, poster name, etc. It may depend on certain outside knowledge, such as level names, as long as an equivalent rule could be defined without it: "AKHTBN iff it is one of the following finite list: JUSTDIG, ONLYFLOATERSMAYSURVIVETHIS, [...,] RENDEZVOUSATTHEMOUNTAIN."
-- Simon
MON - white
OON - white
ON - white
GOON - black
E - white
EON - white
ACEFHIKLMNOSTVWXYZ
J
U
RIMON
SAMON
NOOG
Apologies for not being up on the rules but as mentioned I'm super busy.
Is the rule based on something like consonant/vowel/consonant/vowel. ?
Y
ACEFHIKLMNOSTVWXYZ
Actually on 2nd thought, given my current guesses, I'm afraid I have to ask to also include each individual letter in the above string as a guess as well. So my list of guesses now include "A", "C", "E", "F", etc. in addition to what I posted before.
ACEFHIKLMNOSTVWXYZ - black
J - black
U - white
RIMON - black
SAMON - white
NOOG - black
A, C, E, H, I, K, M, N, O, S, T, V, W, X, Y, Z - white
F, L - black
I'm assuming "R" will be black?
Okay, let me shoot for guessing the rule (and if that fails, back to finishing the individual single letters

):
AKHTBN iff each letter written in uppercase exhibits either flip or rotational symmetry. More directly, iff none of the letters are members of the set {F, G, J, L, P, Q, R}.
[letters exhibiting flip symmetry with vertical axis: A, H, I, M, O, T, U, V, W, X, Y
letters exhibiting flip symmetry with horizontal axis: B, C, D, E, H, I, K, O, X
letters exhibiting rotational symmetry: H, I, N, O, S, X, Z]
[in case people are curious: my initial guess (disproven with F and L) was forbidding letters written in uppercase that contains both straight as well as curved parts, though already that leaves J and U somewhat ambiguous. Expanding guess to individual letters was needed to see if it only matters that the forbidden letter is the first letter in the word (disproven with NOOG).]
On Simon's suggestion, we'll start a new round w/o waiting for geoo's response. If my guess for geoo's rule proved to be wrong we will pause this new round and go back to geoo's. Or who knows, maybe this round will be over before geoo resurfaces (esp as Simon suggest to err on the easier side...)
Initial white koan: WHITE (this follows the secret rule)
Initial black koan: BLACK (this doesn't follow the rule)
ETIHW
HIE
SLACK
TROUT
-- Simon
ETIHW - white
HIE - white
SLACK - black
TROUT - white
ACK
TRACK
TRALE
WHILE
-- Simon
ACK - black
TRACK - black
TRALE - white
WHILE - white
BLAC
BLAK
BLA
KCALB
Yeah, ccx is correct about my rule. Sorry for not responding, internet was out here at the institute.
EDIT: Got an idea: Koan has buddha-nature iff the number of vowels in it is even.
If not:
K
C
X
TACK
TAC
TAK
TAE
TC
TK
BLAC - white [thus counterexample to geoo's rule-guess]
BLAK - white
BLA - black
KCALB - black
K - white
C - white
X - white
TACK - white
TAC - black
TAK - black
TAE - white
TC - black
TK - black
Ok so, then, number of consonants is odd?
(A bit of a coincidence that all the koans until my guess had odd length, thus making my two guesses equivalent until then...)
Yep, you got it.

(I did initially consider using primality instead of parity, but hey, err on the easier side right?)
Simon's guesses were indeed all odd-length, though some of Clam's weren't, except I wasn't able to reply to his before you posted.
can I start a new round? [I'll be better as master than a guesser]
Initial white koan: STOOGE (this follows the secret rule)
Initial black koan: GATES (this doesn't follow the rule)
geoo's guesses from IRC:
spoon - black
koan - white
tooges - white
oogest - white
ogesto - white
egoots - white
atesg - black
tesga - black
BUDDHA
BUDHA
KOANS
STOGE
OO
O
-- Simon
BUDDHA - black
BUDHA - black
KOANS - black
STOGE - black
OO - black
O - black
OK, I'll have a guess too.
AL
GOO
CONE
AVOID
PANAMA
LULLABY
RAINBOWS
AL - white
GOO - black
CONE - white
AVOID - black
PANAMA - white
LULLABY - black
RAINBOWS - black
RAINBOW
KAN
BUDDHAS
AARDVARK
SOUP
-- Simon
This game sort of reminds me of Mastermind, only a bit more complicated than that, having to guess the rule.
I think I know the rule now: Number of consonants must equal number of vowels in the word, so even a blank answer would make a white koan.
minimac is winner!
Not sure on blank answer though. I didn't know making a blank answer was possible, but you're right I guess.
I said the same thing about Mastermind yesterday on IRC

. I love that game; but very challenging.
Very nice, I was merely considering single letters.
minimac may master the next game if he wishes.
The empty koan is customarily disallowed. Having some interest in set theory, disallowing the empty koan feels unnatural, but the offline game has a practical reason for it: The marked empty koan looks like a stray marking stone on the table.
Nonetheless, rules could always be evaluated for the empty koan. "The first letter has property E" evaluated for the empty koan, is false for any formula E. "All letters have property E" is true.
-- Simon
OK, let's start a new game. Examples are this time based on Welsh cities.
Initial white koan: NEWPORT (this follows the secret rule)
Initial black koan: CARDIFF (this doesn't follow the rule)
Post more koans or guesses about the rule.
CLAM
CCEXPLORE
GEOO
MINIMAC
INSANESTEVE
CLAM - white
CCEXPLORE - black
GEOO - white
MINIMAC - black
INSANESTEVE - black
CLAMPLORE
GEOOPLORE
CE
NWPRT
-- Simon
CLAMPLORE - black
GEOOPLORE - white
CE - white
NWPRT - white
CLAMCLAM
GEOOGEOO
CCEXCLAM
CCEXGEOO
Throwing out a guess because it's night where minimac is (I think):
AKHTBN iff it contains at most four letters (not necessarily distinct) from the first half of the alphabet.
Good guess; I'm afraid it was not the rule I was looking for, here are some more koans.
CLAMCLAM - black
GEOOGEOO - black
CCEXCLAM - black
CCEXGEOO - black
I guess that AKHTBN iff each consonant appears at most once in the koan.
STUPOR
RIDDLE
RIPPLE
PHILIPPINES
THEQUICKBROWNFOXJUMPS
-- Simon
Absolutely correct! As for the koans...
STUPOR - White
RIDDLE - Black
RIPPLE - Black
PHILIPPINES - Black
THEQUICKBROWNFOXJUMPS - White
Alright, good one. :-) New game:
BROWN - white
BLACK - black
-- Simon
From IRC:
WURST - black
BLAC - black
BLA - black
WHITE - black
BROWNBROWN - black
NWORB - black
RBWON - black
OWNB - black
BROW - white
BRO - white
BR - white
B - white
BL - white
BROWNROWNROWN - white
XYZ - white
AXYZ - white
A - white
AX - white
X - white
-- Simon
a koan has the buddha nature if and only if the letters in it go from left to right; in Alphabetic order
guesses:
YUTS
ZOON
LIGED
FEUTI
LIKELIKE
LIKELIKELIKE
a koan has the buddha nature if and only if the letters in it go from left to right; in Alphabetic order
BROWNROWNROWN (white) is a counterexample. This was added to my IRC post above while you were writing.
YUTS - black
ZOON - black
LIGED - black
FEUTI - black
LIKELIKE - black
LIKELIKELIKE - black
-- Simon
C
D
E
Q
LOOK
LOOO
VFGFHF
C, D, E, Q: all white
LOOK: black
LOOO: white
VFGFHF: black
And from IRC:
WUUT - black
TUUW - white
-- Simon
AB
ABAB
ABABA
AABBAA
ABBCCCDDDD
BAAAB
BAB
BABA
Bouncing on mobius' idea (which may be going completely in the wrong direction) I shall guess:
A koan has the buddha-nature if its first letter is the same as or alphabetically earlier than each of its other letters.
AB - white
ABAB - black
ABABA - black
AABBAA - black
ABBCCCDDDD - white
BAAAB - black
BAB - black
BABA - black
A koan has the buddha-nature if its first letter is the same as or alphabetically earlier than each of its other letters.
This is not correct. There is one existing disproving koan: BROWNBROWN, marked black, which would be white according to this guess.
-- Simon
Let's go for some more common words rather than freaky letter codes.

TEA
COFFEE
SUGAR
WINE
BEER
CHARCOAL
IGLOO
TEA - black
COFFEE - white
SUGAR - black
WINE - black
BEER - white
CHARCOAL - black
IGLOO - black
Tea and charcoal is about the only thing that colored appropriately here. <_<
-- Simon
Ok then, I guess that a koan has the buddha-nature if its first letter is alphabetically earlier than each of its other letters.
a koan has the buddha-nature if its first letter is alphabetically earlier than each of its other letters. 
You are enlightened. Well done!
You may host a next round immediately.
-- Simon
Ok then, I guess that a koan has the buddha-nature if its first letter is alphabetically earlier than each of its other letters. 
DOH! I actually thought of this but for some reason immediately thought; "no, that can't be it"

good job, and good rule. Simple yet stumped everyone for a while
Okay

In this round, BUDDHA has the buddha-nature
and NATURE does not have the buddha-nature.
BUDDHANATURE
NATURALSCIENCES
NUT
BUD
BUDWEISER
RHAPSODY
DUB
-- Simon
will a BUDDHIST have the Budhda-Nature?
HCL
Having buddha-nature:
BUDDHANATURE
NATURALSCIENCES
BUD
BUDWEISER
BUDDHIST
Lacking buddha-nature:
NUT
RHAPSODY
DUB
HCL
AIRBUD
DUBLIN
DUBBERNATURE
NUDE
BUT
HCLACID
Having buddha-nature:
AIRBUD
DUBLIN
DUBBERNATURE
BUT
Lacking buddha-nature:
NUDE
HCLACID
NATURAL
NURTURE
NURTURED
NUTRIENT
Everything I was considering so far is thrown overboard again by NATURE being black...
-- Simon
STATICUS
I
DONT
GET
THIS
ITS
TOTALLY
MISUNDERSTANDABLE
Having buddha-nature:
DONT
MISUNDERSTANDABLE
Lacking buddha-nature:
NATURAL
NURTURE
NURTURED
NUTRIENT
STATICUS
I
GET
THIS
ITS
TOTALLY
BUDDHABUDDHA
AHDDUB
BUDDXD
BUDDAHS
IO
IOIO
CALL
KLPX
KLPXOIUE
ORANGE
JUICE
------
throwing out an accusation which is most-likely wrong; a koan has the Buddha-nature if it contains letters that are present in "BUDDHA" but must be in the order of which they appear in BUDDHA.
Having buddha-nature:
BUDDHABUDDHA
AHDDUB (this disproves your guess)
BUDDXD
BUDDAHS
CALL
Lacking buddha-nature:
IO
IOIO
KLPX
KLPXOIUE
ORANGE
JUICE
TNOD
TUB
STI
SIHT
BUDDHABUDDHABUDDHABUDDHA
BETTER
BUTTER
CALLLL
HADUBD
BUDE
NUTCRACKER
Having buddha-nature:
BUDDHABUDDHABUDDHABUDDHA (and in fact any koan consisting of
n repetitions of "BUDDHA"

)
BETTER
BUTTER
CALLLL
BUDE
Lacking buddha-nature:
TNOD
TUB
STI
SIHT
HADUBD
NUTCRACKER
let the funcion id() turn letters into numbers: id(A) = 1, id(B) = 2, ..., id(Z) = 26.
AKHTBN iff the length of the koan is >= id(first letter of the koan).
-- Simon
Thou hast attained enlightenment
Nice one. :-)
I offer anyone to host a game, I'll be away for 2-3 days after a couple hours.
-- Simon
Wow, that previous koan was difficult to understand, and it was probably made harder by all the similar wordings that everyone else made.

Maybe we were getting closer when I found out that MISUNDERSTANDABLE had the buddha nature. Anyway, now that we know the answer, I'd definitely be experimenting that one using other interesting words.
Yes, NATURALSCIENCES and MISUNDERSTANDABLE were the last piece here. Earlier ideas were always explaining 90 percent of cases, but not these.
-- Simon
okay, maybe an easier round:
Initial white koan: WHITE
Initial black koan: BLACK
OK, if this is a colour round, shall we do all the other colours too?

RED
ORANGE
YELLOW
LIME
GREEN
TURQUOISE
BLUE
INDIGO
VIOLET
PINK
I actually came up (for my earlier round) with quite a few different ideas based on black and white, and was too lazy now to come up with other ideas using other words.

Anyhow:
has Buddha nature:
ORANGE
GREEN
TURQUOISE
BLUE
INDIGO
VIOLET
lacks Buddha nature:
RED
YELLOW
LIME
PINK
TEAL
MAGENTA
CYAN
GOLD
GREY
GRAY
MAROON
Buddha:
CYAN
GRAY
MAROON
Not Buddha:
TEAL
MAGENTA
GOLD
GREY
FORTRESS
SET
AB
C
AKAK
QUICK
QUIT
Buddha:
FORTRESS
SET
AB
QUICK
QUIT
Not Buddha:
C
AKAK
GRIY
GROY
GRUY
GRIY
GROY
GRUY
all black (lacks Buddha nature)
GRANGE
GRUE
QUACK
GRANGE and QUACK has Buddha nature
GRUE does not
DIRIGIBLE
DIRIGIBLE has Buddha nature.
ccxplore said this was a slightly easier round, but at the moment he's lying. Looks like we're getting nowhere already. Let's try and remind ourselves all the ones that have a buddha nature already to see if we can get any closer. I've put them in alphabetical order.
AB
BLUE
CYAN
DIRIGIBLE
FORTRESS
GRANGE
GRAY
GREEN
INDIGO
MAROON
ORANGE
QUACK
QUICK
QUIT
SET
TURQUOISE
VIOLET
WHITE
I'll try a few more longer words
ESTABLISHMENT
HORRIFICALLY
UNDERNEATH
BEREAVEMENT
NEGOTIATIONABLE
ccxplore said this was a slightly easier round, but at the moment he's lying. Looks like we're getting nowhere already.
Yeah sorry, I suspected soon after I posted the initial koans that I probably misjudged the difficulty, but do not have a good way to simplify it without already affecting the initial koans.

I guess if desired I can give a hint (in the form of koans) or we can just start a whole new round.
Anyway, your latest koans are all black (non-Buddha).
ESTABLISHMENT
HORRIFICALLY
UNDERNEATH
BEREAVEMENT
NEGOTIATIONABLE
To be fair, with the exception of Proxima's koans (and a pair of Clam's koans, perhaps somewhat by accident), so far it doesn't seem like people are being all that systematic with their koans.
Let's try and remind ourselves all the ones that have a buddha nature already to see if we can get any closer. I've put them in alphabetical order.
For this kind of thing, it's as important to keep track of the ones that lack buddha-nature. Knowing that GRAY has buddha-nature doesn't tell us much by itself, but that GRAY does and GREY does not is much more significant.
"Fancy being more interesting in things that don't have buddha-nature than in things that do!" -- Achilles, in
Gödel, Escher, BachAKAK
BEREAVEMENT
BLACK
C
ESTABLISHMENT
GOLD
GREY
GRIY
GROY
GRUE
GRUY
HORRIFICALLY
LIME
MAGENTA
NEGOTIATIONABLE
PINK
RED
TEAL
UNDERNEATH
YELLOW
* * *
Next set of guesses:
FRAY
GRAM
NEGOTIABLE
TALLOW
UNDERCITY
Buddha:
FRAY
GRAM
non-Buddha:
NEGOTIABLE
TALLOW
UNDERCITY
FREY
FRY
GRY
TRAM
TRAY
TRY
YGRA
AYGR
GARY
NEGOTIABLEQ
Buddha:
TRY
YGRA
AYGR
GARY
non-Buddha:
FREY
FRY
GRY
TRAM
TRAY
NEGOTIABLEQ
----------------
I guess if desired I can give a hint (in the form of koans)
It occurred to me that in lieu of just me giving out koans for free (which isn't exactly how the game works), people can instead post guesses of the rule, even if it is obviously incorrect due to failing on already tried koans. I would have discretion over what counterexample response to post, and for hinting purposes I can make the counterexample much more helpful/revealing than normal. All of that would work completely within the rules of the game.
FGSFDS
GRBY
GRAAY
GRAYGRAY
GRAYGREY
GREYGREY
It occurred to me that in lieu of just me giving out koans for free (which isn't exactly how the game works), people can instead post guesses of the rule, even if it is obviously incorrect due to failing on already tried koans. I would have discretion over what counterexample response to post, and for hinting purposes I can make the counterexample much more helpful/revealing than normal. All of that would work completely within the rules of the game.
Ah, but we
can request a hint within the rules of the game: guess "A koan has the buddha-nature if and only if it is one of the following: {
list of all known "white" koans}". But that's cumbersome to type out. So I think a shortcut should be formalised by adding a rule that the players can ask for a hint in the form of a new koan of the master's choice. Not that I'm doing that now; the latest sets of koans should provide a good amount of new information.
Buddha:
GRBY
GRAAY
GRAYGRAY
GRAYGREY
not Buddha:
FGSFDS
GREYGREY
RAY
REY
RYE
RUBY
Buddha:
RAY
RUBY
not Buddha:
REY
RYE
Three more koans:
QJRGLPFAB
ABZ
ABNS
QJRGLPFAB, ABZ, ABNS all have Buddha-nature
------------
Let's do this: if no one posts guesses (koans or rules) for over 24 hours after the latest response from master, consider this round abandoned and someone can start a new round?
I like this idea. And then after the 24 hours expire the master may reveal the answer.
What we know so far is that most of the koans tend to be short lettered words. TURQUOISE and DIRIGIBLE were the longest. I still have no idea so this is my last set of koans to try. (Don't know if this is helpful

, maybe I should be writing the letters of the alphabet as koan guesses instead)
NEWPORT
CARDIFF
SWANSEA
GLASGOW
BRISTOL
NORWICH
PRESTON
SALFORD
CHESTER
Buddha:
CARDIFF
GLASGOW
PRESTON
SALFORD
CHESTER
not Buddha:
NEWPORT
SWANSEA
BRISTOL
NORWICH
GREYGRAY
ABK
ABAKAK
QACK
QQ
X
AX
EX
No new koans right now, but a discussion about properties of the Buddha-nature. Given the tested koans so far, the following three rules seem to hold:
R1: The Buddha-nature does not depend on the order of the letters in the koan.
R2: The Buddha-nature only depends on whether a letter occurs in the koan, but not how often it occurs.
R3: Letters that have neither vertical nor horizontal mirror symmetry (i.e. FGJLNPQRSZ) have no impact at all on the Buddha-nature.
I am fairly sure of R1 and R3, but I wouldn't bet on R2 as we have only few test strings for this one.
Here a list of all koans testet so far, after ordering the letters alphabetically and removing all non-symmetric ones.
EDIT: List removed because of disproved rules.
Let's do this: if no one posts guesses (koans or rules) for over 24 hours after the latest response from master, consider this round abandoned and someone can start a new round?
I don't know why you think that because it's taking a while to reach the answer, we're not having fun. We are Lemmings fans, after all.
We can have a rule that if a majority of active players want to end the round, the master reveals the answer, but I strongly object to the idea that the round could be ended prematurely just because someone was busy and didn't get round to posting within 24 hours -- especially when this is the first really good puzzle we've had in this game.
Anyway, as we've reached a new page, here's another recap of koans so far. White on the left, black on the right.
AB AKAK
ABNZ BEREAVEMENT
ABZ BLACK
AYGR BRISTOL
BLUE C
CARDIFF ESTABLISHMENT
CHESTER FGSFDS
CYAN FREY
DIRIGIBLE FRY
FORTRESS GOLD
FRAY GREY
GARY GREYGREY
GLASGOW GRIY
GRAAY GROY
GRAM GRUE
GRANGE GRUY
GRAY GRY
GRAYGRAY HORRIFICALLY
GRAYGREY LIME
GRBY MAGENTA
GREEN NEGOTIABLE
INDIGO NEGOTIABLEQ
MAROON NEGOTIONABLE
ORANGE NEWPORT
PRESTON NORWICH
QJRGLPFAB PINK
QUACK RED
QUICK REY
QUIT RYE
RAY SWANSEA
RUBY TEAL
SALFORD TRAY
SET
TRY
TURQUOISE
VIOLET
WHITE
YGRA
EDIT: Nepster posted at the same time as me. His idea of ordering each koan alphabetically is interesting and may be helpful (since it does seem to be the case that this rule isn't affected by internal order -- all the anagrams of GRAY we tested all had buddha-nature). But I don't like the idea of removing information -- your rule R3 may turn out to be right, but at the moment it's only a guess. I doubt that symmetry is really the key to this rule, since GRAY has buddha-nature but GRUY does not.
* * *
New guesses:
FOLD
OLD
FORD
FORT
GGRAY
GGREY
G
A
E
R
Y
GAY
GEY
GRA
GRE
LET
NEGOTIBLE
NEGOTIAABLE
NEGOTIABLEA
May as well share some of my thoughts about the possible nature of the rule.
I was thinking along similar lines to Nepster -- the GRAY/GRY, FRAY/FRY and TRAY/TRY pairs suggest that A is a significant letter whose addition changes a string's buddha-nature, while F, G and Q are insignificant. However, GRAAY also has buddha-nature, so adding a
second A is not significant. That suggests that the rule could take the form "A koan has the buddha-nature if it contains an even number of distinct significant letters" (for some set of significant letters yet to be determined).
However, it's impossible for a rule of this form to work. I would have to be both a significant letter (because of QUICK/QUACK) and insignificant (because of GRAY/GRY/GRIY). It could be a similar but more complex rule -- but ccexplore thought we would get this one easily, so I don't think it can be. I think these thoughts must be along the wrong lines altogether
HINDENBURG
I don't know why you think that because it's taking a while to reach the answer, we're not having fun. We are Lemmings fans, after all.
We can have a rule that if a majority of active players want to end the round, the master reveals the answer, but I strongly object to the idea that the round could be ended prematurely just because someone was busy and didn't get round to posting within 24 hours -- especially when this is the first really good puzzle we've had in this game.
Okay, it's all up to you guys, majority sounds fine to me. I merely want to make sure I don't end up killing the thread.
but ccexplore thought we would get this one easily
Please ignore that, as I'm pretty sure my brain totally farted when I thought that would be the case.

I now would say this is clearly harder than any of the previous rounds, due at least in part to the crazy way the rule came about (even though it is still fairly straightforward to describe verbally in a sentence or two, maybe).
Even ignoring all the guesses, I myself have quickly recognized how unreasonable it is for me to think this rule would be easier. On hindsight I should've eliminate one part of the rule so it is truly easier, but doing so would affect the initial koans as well. On the previous round I mastered, I already started considering which classes of rules are intrinsically more difficult to deduce/induce/recognize patterns for, yet I totally failed to take that into consideration when I started this round.

==========================
"koan has..." True:
GREYGRAY
QACK
AX
FORT
GGRAY
A
GAY
GRA
LET
"koan has..." False:
ABK
ABAKAK
NEGOTIBLE
NEGOTIAABLE
NEGOTIABLEA
HINDENBURG
QQ
X
EX
FOLD
OLD
FORD
GGREY
G
E
R
Y
GEY
GRE
ACK
AK
^ Both koans have the Buddha nature.
ANEGOTIBLE
NEGOTILE
HINDENURG
ALE
I removed the list in my previous post as the koans AK and E disproved at least some of my rules there.
I doubt that symmetry is really the key to this rule, since GRAY has buddha-nature but GRUY does not.
My thoughts actually went more in the direction of rules like "AKHTBN if if contains two vertically symmetric letters that have distance at least 10 in the alphabet."
Some new koans:
AA
AAA
AAAA
AAAAA
AAAAAA
GRAYL
ABL
TRYL
REDL
@Proxima: I noticed two typos in your list: ABNZ should be ABNS and NEGOTIONABLE should be NEGOTIATIONABLE.
Buddha:
HINDENURG
ALE
AA
AAA
AAAA
AAAAA
AAAAAA
GRAYL
ABL
TRYL
not Buddha:
ANEGOTIBLE
NEGOTILE
REDL
XRAY
LITHE
MOLE
HOXI
enlightened:
XRAY
HOXI
unenlightened:
LITHE
MOLE
NONPAREILL
^ lacks Buddha nature
INDISPENSABLE
^ also lacks Buddha nature
EE
EEE
AAK
AKK
K
KK
AMALGAMATION
FOF
OFO
FOOOOF
FOOOOOOOOOOOOOOOOOOOOOOOOOOF
FOFO
OOF
OFF
OF
FO
HH
III
MMM
ZZZ
Has Buddha-Nature:
AAK
AKK
K
KK
AMALGAMATION
HH
lacks Buddha-Nature:
EE
EEE
FOF
OFO
FOOOOF
FOOOOOOOOOOOOOOOOOOOOOOOOOOF
FOFO
OOF
OFF
OF
FO
III
MMM
ZZZ
It seems very interesting to me that "HH" is buddha and not "EE" or "III".
Anybody have any thoughts on numbering the letters from 1 to 26 like Proxima's earlier round? Obviously which letters chosen is directly important. [suppose everyone already knew this]
more guesses:
NFL
NBA
KKK
XLO
ZHX
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Has Buddha-Nature:
NFL
KKK (D'oh!

)
ZHX
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
lacks Buddha-Nature:
NBA
XLO
I've been following this, but haven't contributed much in the way of koans, probably because others have posted so many already

. But thanks to the large number of koans (and MS Excel!), I'm able to make a guess at the rule with some confidence:
AKHTBN iff it contains one or more of the letters {A, K, H, T, B, N}, and they occur only in that order.
Woo! Go Clam!

'scuse me I mean "thou hast enlightened".

Curious that MS Excel helped out, were you doing some sort of statistical analysis with the frequency of letters or something?

[In case people are still unclear on the ordering condition: for example BLACK disobeys the ordering because the B appears before the A (and also before the K) in the word. LAB is okay since A is before B just like in "AKHTBN"--not having K, H or T in "LAB" is fine, the ordering condition is only on the "blessed" letters that are present in the koan. AAKK would be okay while AKAK would not. AABB good, ABAB bad. And yes, BUDDHA is ironically not okay.

]
==========
In hindsight perhaps I should've forgo the ordering condition, but then again, we previously did a round already (geoo mastered) where Buddha nature is conferred simply by inclusion of a set of blessed letters, so I guess I thought it would be too much of the same, and thought the little twist would be a good idea. Or maybe I should've kept the twist but use a smaller set of blessed letters instead (people were at least eventually picking up on A, B and K, even though everyone also seemed to have forgotten by then that the initial white koan of WHITE has none of those three letters).
And in my defense, generally speaking the way people were going about this often didn't help, with so many long-length koans which are bound to disobey the required ordering. If people did like I did with geoo's round and say, do the 26 single-letter koans, I imagine things would've been much clearer. People were drawing some good theories, but often got hung up by examples where the koans have more special letters than the ones they were suspecting, which ends up confusing people as to why those koans don't seem to fit. Testing out smaller koans might've helped in those cases.
Had someone went the "hint" route and post an obviously incorrect rule guess, I have planned out these fun koans to reveal (amongst other possibilities like literally AKHTBN):
AKIDHELPSTIMBUYNOODLES (white)
TIMHELPSAKIDBUYNOODLES (black)
I also early on wrote a computer program to check people's koans, so if at any point someone bring up whether I could've made a mistake somewhere along the way with so many koans at play, the answer would be a firm "no" (other than copy-paste errors when inputting into computer program, but I had been very careful with that).
=============
Anyway, Clam can do the next round, or call open floor and have someone else do it. Or maybe we can all use a break and play some other forum game instead?
Wow, you really stumped us there.

A very interesting rule though, wouldn't have come up with that.
do the 26 single-letter koans
Personally, I find that really cheap

but it's just me.
Anyhow, people don't have to play Zendo if they don't want to, but those who do could still continue of course
do the 26 single-letter koans
Personally, I find that really cheap
but it's just me.
This is a phenomenon of turnless Zendo.
In the turn-based game, you do this per turn: Make a new koan to be marked, possibly earn guessing attempts, and then use as many guessing attemps as you like. It takes several turns to test every 1-element koan, so you should conduct only the most needed ones.
Testing all 1-letter koans should be acceptable, even if it's not 100 % according to the process of the turn-based game. If you deem it unspiritful, it's your right to test only some. I don't want to impose any limit by rules here. :-)
-- Simon
Curious that MS Excel helped out, were you doing some sort of statistical analysis with the frequency of letters or something? 
Yep

. I suspected (as others did) that there was a set of special letters that all white koans had in common. The existing koans with only one letter type gave an initial list of "white" and "non-white" letters. Then (with an Excel formula) I counted the "white" letters in each white koan, and added other letters not in the "non-white" list until every white koan had one or more. Thanks to the size of the koan list, there was no guessing required, and there was a eureka moment when the letters AKHTBN dropped out

It was the koan AKAK that prompted me to think about the order of the white letters.
---
New round!Initial white koan: CLAM
Initial black koan: SPAM
CLIX
CPLUSPLUS
SPROUT
SCHPAM
CLAMSPAMMER
-- Simon
Regarding guessing single-letter koans:
To be fair, even in geoo's round I wasn't really relying on guessing all 26 1-letter koans. I actually had a theory that I initially tested with a single koan containing all the letters that I thought are "good". Only when I wasn't sure whether the letter must be the first letter in the koan is when I apologetically asked for testing individual letters on their own, and even then only the individual letters from my koan (the one with what I thought were all the good letters--as it turned out some weren't because my theory of goodness was slightly off, and the individual letter koans immediately point out the bad ones).
Still, it's good input to know that some people may be aversed to certain classes of guesses, I'll be sure to try taking that into account somehow if I master any future rounds.
============
koans for Clam's round:
CL
SP
AM
MALC
MAPS
AMCL
AMSP
CLAMSPAM
SPAMCLAM
CLAMCLAM
SPAMSPAM
White:
SPROUT
CLAMSPAMMER
MALC
AMCL
CLAMSPAM
SPAMCLAM
CLAMCLAM
Black:
CLIX
CPLUSPLUS
SCHPAM
CL
SP
AM
MAPS
AMSP
SPAMSPAM
CA
CM
OP
OR
RS
-- Simon
I make the following guess at the rule:
AKHTBN iff it contains two consecutive letters of the alphabet.
In hindsight perhaps I should've forgo the ordering condition, but then again, we previously did a round already (geoo mastered) where Buddha nature is conferred simply by inclusion of a set of blessed letters, so I guess I thought it would be too much of the same, and thought the little twist would be a good idea. Or maybe I should've kept the twist but use a smaller set of blessed letters instead (people were at least eventually picking up on A, B and K, even though everyone also seemed to have forgotten by then that the initial white koan of WHITE has none of those three letters).
I'd worked out that T was a significant letter as well

And well done, that was a very nice rule.
I make the following guess at the rule:
AKHTBN iff it contains two consecutive letters of the alphabet.
Correct

SPROUT was rather a giveaway, wasn't it?
Actually CL and AM being both black was more helpful. SPROUT was too different from the other test koans to be of much use for me.
NEW ROUND:
Word with Buddha-nature: YELLOW
Word without Buddha-nature: BLUE
YELLOWYELLOW
BLUEBLUE
YELLOWBLUE
BLUEYELLOW
YELLO
YELL
YEL
YE
Y
BLU
BL
B
White:
YELLOWYELLOW
YE
Black:
BLUEBLUE
YELLOWBLUE
BLUEYELLOW
YELLO
YELL
YEL
Y
BLU
BL
B
RED
GREEN
CYAN
MAGENTA
WHITE
BLACK
BELLOW
WOLLEY
WBLUE
White:
WOLLEY
CYAN
Black:
RED
GREEN
MAGENTA
WHITE
BLACK
BELLOW
WBLUE
YA
YL
YO
YW
YOLO
YEW
YBLUE
BLUEY
WOLLE
ELLOW
White:
YA
YL
Black:
YO
YW
YOLO
YEW
YBLUE
BLUEY
WOLLE
ELLOW
L
LL
LOL
MISTER
MISS
MISSSS
MISO
ACK
ACHE
WE
ALL
LIVE
IN
A
YELLOWSUBMARINE
White:
MISTER
MISS
MISO
WE
IN
Black:
L
LL
LOL
MISSSS
ACK
ACHE
ALL
LIVE
A
YELLOWSUBMARINE
Let's try a few more longer words. BTW "LEMMINGS" wasn't even submitted as a koan guess yet, so I'll put that in for the name of the forum's sake.

LEMMINGS
CARELESS
CLICKING
COSTS
LIVES
LEMMINGOLOGY
SANCTUARY
MISTERYELLOW
MISSWHITE
TIMERS
WINE
SUBMARINE
White:
MISTERYELLOW
TIMERS
WINE
Black:
LEMMINGS
CARELESS
CLICKING
COSTS
LIVES
LEMMINGOLOGY
SANCTUARY
MISSWHITE
SUBMARINE
ZEMMINGS
YAAAAAAAAAAA (eleven As)
YAAAAAAAAAAAA (twelve As)
YOUNG
All of them are black:
ZEMMINGS
YAAAAAAAAAAA (eleven As)
YAAAAAAAAAAAA (twelve As)
YOUNG
This is as hard as ccexplore's rule. I tried adding up the values, but that idea isn't working very well. I'll have a wild guess.
AKHTBN iff 50% or more of the letters in the word are from the second half of the alphabet (N-Z)
If not, I'll submit more koans instead.
NEWPORT
LONDEN
READING
BLACKBURN
This is as hard as ccexplore's rule.
I expected it to be harder than Clam's round, but definitely easier than ccexplore's rule. But I might have underestimated the difficulty arising from the rarity of white koans.
AKHTBN iff 50% or more of the letters in the word are from the second half of the alphabet (N-Z)
No. A counterexample is NONSTOP, which is black. Alternatively the koan COSTS you asked last time would be a counterexample.
White:
LONDEN
Black:
NEWPORT
READING
BLACKBURN
YAA
YEE
YY
YYY
YYYYYYYYYYYY (
twelve Ys)
LIX
All of them are black.
LLOW
M
MI
MIS
MIST
MISTE
STER
YOLLEW
YLOELW
White:
LLOW
MIST
YOLLEW
YLOELW
Black:
M
MI
MIS
MISTE
STER
A koan is white if it has equal numbers of letters from A to M and from N to Z.
As it's been 24 hours without my guess being adjudicated, and I'm pretty sure it's correct, I'm going to post the next round. If my guess turns out to be wrong, we can stall this round and continue Nepster's.
QUILLSHWAMMY has the buddha-nature.
LIGHTYAGAMI does not have the buddha-nature.
L
L has the buddha-nature.
H
R
TEST
DIGGERIDOO
DIG
HABENERA
(list includes some guesses from chat)
White:
H
R
TEST
AYUMISHINOZAKI
YAKUZA
YAKZUA
Black:
DIG
DIGGERIDOO
HABENERA
YAZKRDL
A koan is white if it has equal numbers of letters from A to M and from N to Z.
Correct

! And congratulations to minimac as well, who had almost the correct rule some days ago

.
One koan for Proxima's round:
BASH
(list includes some guesses from chat)
White:
ADADADA
AOI
Black:
BASH
HM
AOAOAOAO
TARZAN
BAG
BUG
ART
OUR
RIO
DE
JANEIRO
^ Those are all black.
Some more guesses from chat:
White:
PRAMIOX
Black:
ASDF
PROXIMA
PRIXAMO
PRAXOMI
YUGIO
LUFFY
AGA
AGAG
ABCDEFG
GFEDCBA
X
White:
AGA
X
Black:
YUGIO
LUFFY
AGAG
ABCDEFG
GFEDCBA
IBICHIBI
ASOGO
ASOGOJ
ABS
ABBS
TANTAMOUNT
JOHN
XAVIER
APPLE
WATER
WUNORS
White:
IBICHIBI
TANTAMOUNT
JOHN
APPLE
WUNORS
Black:
ASOGO
ASOGOJ
ABS
ABBS
XAVIER
WATER
accusation: akhtbn if numbering the letters of the alphabet from 1-26, each letter corresponds to a number and the letter/numbers added up--the sum must be even.
more guesses:
OCKODUCKU
LETTER
BUNG
S
SSSS
POP
GOAL
STRIFF
BAGGAGE
accusation: akhtbn if numbering the letters of the alphabet from 1-26, each letter corresponds to a number and the letter/numbers added up--the sum must be even.
This is not correct. A counterexample is INSANESTEVE, which is white even though its alphabetic values sum to 133.
In chat, möbius also guessed that the alphabetic values of the first and last letters must have an even total. This is not correct; a counterexample is SAYUYAGAMI, which is black even though 19 + 9 = 28.
White:
S
SSSS
POP
Black:
OCKODUCKU
LETTER
BUNG
GOAL
STRIFF
BAGGAGE
Interesting one. Well, with the different natures of PRAMIOX and PROXIMA we know so far that it affects word order, but still have no idea of a guess, especially when all of my previous koans were shown to be all black.
IN
ELY
YORK
LEEDS
OLDHAM
CARDIFF
SOLIHULL
SHEFFIELD
PORTSMOUTH
White:
ELY
PORTSMOUTH
Black:
IN
YORK
LEEDS
OLDHAM
CARDIFF
SOLIHULL
SHEFFIELD
Some more variations of Proxima:
PROMIXA
PRAXIMO
PROMIAX
APRIMOX
QRAMIOX
White:
PROMIAX
Black:
PROMIXA
PRAXIMO
APRIOMX
QRAMIOX
PROMIX
PROMX
PROX
PRX
PX
^ All white.
Ok, after categorizing all the guesses into their respective equivalence classes (first and last letter) I've come to the following conclusion which holds for all the guesses that have been made up to now:
A koan has the buddha nature iff the difference of its first and last letters' numeric value modulo 4 equals zero.
In other (simpler) words, the first letter of the koan must be a multiple of 4 letters away from the last letter (within the alphabet), the rest of the letters within the koan are irrelevant.
If anybody's still up for it, I got one more which I once started on IRC a while ago but never finished. Also, how about some Eleusis for a change?
Just throwing a few words out there to see what emerges....
LIX
RAMON
FUN
TRICKY
TAXING
MAYHEM
White
LEMMING | Black
FUN | LIX | MAYHEM | PROXIMA | RAMON | TAXING | TRICKY |
|
|
I don't think anyone else would've guessed that previous rule without listing it. So it actually wasn't about word ordering at all? Erinomaista työtä Ramon.
Have we played an Eleusis game before? I don't remember, and I don't know what the goal is in this version; Well, I know so far that we're allowed to select koans, so...
HOW
IS
ELEUSIS
GOING
TO
MAKE
THIS
GAME
DIFFERENT
In fact this is still a round of Zendo, in Eleusis, players would try to add letters to an existing sequence of letters (which would either work or not) instead of guessing full koans.
White
LEMMING | Black
DIFFERENT | ELEUSIS | FUN | GAME | GOING | HOW | IS | LIX | MAKE | MAYHEM | PROXIMA | RAMON | TAXING | THIS | TO | TRICKY |
|
|
Buddha nature seems to be hard to obtain this time around
OK thanks about this, I suppose it's time to send a PM to Simon to update the OP. There are probably going to be a lot of nonsensical words here.
OOKPIQQ
OCLUDD
LDMSWD
Heh. This is my 1111th post, and minimac is on 1357.
Let's see if I get better luck this time....
A
LOG
SUMMER
HIRSUTE
HUMMINGBIRD
LEMMINGS
LEMMINI
LEMMUS
ZUZ
LEMMIN
READING
AA
B
OH
White:
A LEMMING READING
Black:
AA B DIFFERENT ELEUSIS FUN GAME GOING HOW IS LDMSWD LEMMINGS LEMMIN LEMMINI LEMMUS LIX MAKE MAYHEM OCLUDD OH OOKPIQQ PROXIMA RAMON TAXING THIS TO TRICKY ZUZ
Sorry, I don't get how the table tag works. It screws up with each new post.
IS A BOOK INSTRUCTION MANUAL
Here's an incomplete prediction: AKHTBN iff it is one of the words in a particular (and probably humorous) sentence that the master has in mind.
White:
A JUGGERNAUT LEMMING READING ZQVGSDKRTNABlack:
AA B BOOK DIFFERENT ELEUSIS FUN GAME GOING HOW INSTRUCTION IS LDMSWD LEMMINGS LEMMIN LEMMINI LEMMUS LIX MAKE MANUAL MAYHEM OCLUDD OH OOKPIQQ PROXIMA RAMON TAXING THIS TO TRICKY ZUZDisproven guesses (AKHTBN iff):
the koan ends in ING --- disproving koan: JUGGERNAUT is White (<-- by Proxima on IRC)the koan is a word of a particular sentence --- disproving koan: ZQVGSDKRTNA is WhiteSuch a rule with only select koans would be very, very unfair.
Another guess for the rule:
AKHTBN iff it contains the dth letter from the alphabet, where d is the length of the koan. The only exception is DIFFERENT, where the rule is different

.
If this is incorrect, here some more koans:
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDD (30 D's)
GLEMMIN
EMMING
LEMING
Another guess for the rule:
AKHTBN iff it contains the dth letter from the alphabet, where d is the length of the koan. The only exception is DIFFERENT, where the rule is different
.
Actually, you're correct, and I must apologize for that grave oversight. No idea how that happened
... and I must apologize for that grave oversight. No idea how that happened 
No harm done and DIFFERENT was by far the best choice for your oversight

. Good rule anyway.
New round of Zendo:White: ELEUSIS
Black: ZENDO
ELEPHANT
ELEPHANT is black.
Quite a few obvious guesses coming up considering the answers so far (although they're probably not gonna be the ones you're looking for) Here's two guesses I thought of:
AKHTBN iff the first and last letter (or just the last letter) appears more than once in the whole word, orr;
iff there is two or more of the same consonant or vowel in the word.
Otherwise, time to guess more koans:
ATHENS
CORONA
APOEL
NICOSIA
ELECTABLE
VALERIE
YAY
Unfortunaely both guesses are incorrect.
Disproving the first guess: BUDDHA is white.
Disproving the second guess: KOAN is white as well.
All the other koans are black:
ATHENS
CORONA
APOEL
NICOSIA
ELECTABLE
VALERIE
YAY
Hope you don't mind if someone bored at work jumps in...
To hazard a guess:
AKHTBN iff, when the letters it contains are arranged alphabetically, both the beginning and ending letter are vowels/
Hope you don't mind if someone bored at work jumps in...
This game is meant exactly for those times...
AKHTBN iff, when the letters it contains are arranged alphabetically, both the beginning and ending letter are vowels/
Good guess, but MUSIC is another white koan.
AKHTBN iff; the letters in the koan go in order; up the alphabet, then down, then up etc.. or visa versa.
-----------
LIKE
ELECTRODE
SING
ZZOZZ
ZOZ
QELL
FART
---------
I totally missed the Eleusis round. To be honest I'm not sure I understand it
I totally missed the Eleusis round. To be honest I'm not sure I understand it
As far as I know, there was no Eleusis round. Ramon wanted to start one, but it was changed to a Zendo game during the first few replies.
AKHTBN iff; the letters in the koan go in order; up the alphabet, then down, then up etc.. or visa versa.
Sorry, but I don't quite understand your guess. Wouldn't the white koan ELEUSIS correspond to up-down-up-down-down-up and thus being black according to your rule?
All your new koans are black:
LIKE
ELECTRODE
SING
ZZOZZ
ZOZ
QELL
FART
ELEUSISELEUSIS
MUSICKOAN
ELEUSISBUDDHA
ELEPHANTBUDDHA
BUDDHAELEPHANT
ELUSI
OLOASUS
As far as I know, there was no Eleusis round. Ramon wanted to start one, but it was changed to a Zendo game during the first few replies.
Correction: Ramon suggested we play Eleusis
next round, and minimac misunderstood him to mean the (then) current round was Eleusis.
Correction: Ramon suggested we play Eleusis next round, and minimac misunderstood him to mean the (then) current round was Eleusis.
Then I am deeply sorry for misunderstanding Ramon as well and starting a Zendo round instead of an Eleusis one.
White koans:
ELEUSISELEUSIS
MUSICKOAN
ELEUSISBUDDHA
ELEPHANTBUDDHA
BUDDHAELEPHANT
ELUSI
OLOASUS
Interesting that people choose koans that are either all white or all black

.
WOLOLO
NKAO
KN
EKEUNIN
USIS
AABCDDEEHIIKLMNOSSSUUU
NEPSTER
ELEISIS
ZUNDO
MENDO
KOANS
(prediction: MENDO will be white, the other three black?)
White:
NKAO
EKEUNIN
USIS
AABCDDEEHIIKLMNOSSSUUU
MENDO (as predicted)
Black:
WOLOLO
KN
NEPSTER (very far from Buddha-nature

)
ELEISIS
ZUNDO
KOANS
Gonna have to go with a modified version of my original attempt...
AKHTBN iff, when the letters in it are arranged alphabetically, the last letter is a vowel.
AKHTBN iff, when the letters in it are arranged alphabetically, the last letter is a vowel.
100% correct this time

!
Awesome, ha.
Nepster, I don't want to admit to how much of my time at work yesterday was spent looking at that incomprehensible string of letters, brow furrowed. Nice.
Ben, congratulations on a well thought out guess. Are you calling open floor or would you like to create a challenge?
I'd like to start off a game if you're calling open floor, but if you'd like to make a rule I'll scratch this game make YES and NO koan guesses.
Initial white koan: NO
Initial black koan: YES
Thanks!
Floor's wide open

Does this game mean that any koan guess has to be answerable by either a yes or a no?
No, merely that minimac would abort this round that starts with initial koans of YES and NO if you wanted to host a round.
YE
SAY
NOT
YEAH
YESSIR
-- Simon
Makes more sense, ha. Need more coffee, I suppose
AYE
EYES
ON
AYE - white
EYES - black
ON - white
YE - black
SAY - black
NOT - black
YEAH - black
YESSIR - black
After that, my postal count's tied with Dullstar now, the most active member back at the time when the forum was created in 2009.
EYA
SEY
NONO
NOON
NOAYE
WHITE
BLACK
EYA - white
SEY - black
NONO - black
NOON - black
NOAYE - black
WHITE - black
BLACK - white
Please arrange koans into whites then blacks when replying, it makes it so much easier.
Here's what we have so far.
White:
AYE
BLACK
EYA
NO
ON
Black:
EYES
NOAYE
NONO
NOON
NOT
SAY
SEY
WHITE
YE
YEAH
YES
YESSIR
New guesses:
AYA
AYEAYE
EYE
YAS
YEA
Just one long koan:
THISKOANHASTHEBUDDHANATURE
OK Proxima, I'll do as you requested:
White:
YEA
THISKOANHASTHEBUDDHANATURE (The longer the word, the longer I take to work it out.

)
Black:
AYA
AYEAYE
EYE
YAS
No idea at all yet even with 3-letter words, here's a batch of koans in Deutsch.
KRAUT
UND
RUEBEN
DIE
LASS
LIEGEN
NAGETIER
-- Simon
Guess: A koan has the buddha-nature if the sum of its alphabetic values (A = 1, B = 2 etc) is prime. (Nepster's koan sums to 277, if my arithmetic is correct.)
Perfect Performance Proxima! (and Nepster's does indeed add up to 277)
As for the koans listed by Simon:
White
KRAUT = 71
NAGETIER = 79
The rest are black.
All right then, round 15!

A student asked the Master: Should those who seek the Way study the mathematics?
The Master replied:
EUCLID has the buddha nature.
EULER does not have the buddha nature.
Hmm, that is not yet a conclusive answer. So let's ask the Master about...
FERMAT
GAUSS
PYTHAGORAS
DESCARTES
GALOIS
HILBERT
WILES
Having buddha nature:
FERMAT
PYTHAGORAS
DESCARTES
GALOIS
Lacking buddha nature:
GAUSS
HILBERT
WILES
EULERSUM
CLAD
CANTOR
EUNTOR
HAUSDORFF
Guess: AHKTBN iff the length is not a prime number.
-- Simon
Having buddha nature:
CLAD
CANTOR
EUNTOR
HAUSDORFF
Lacking buddha nature:
EULERSUM
Guess: AHKTBN iff the length is not a prime number.
This is incorrect. For example, MORIARTY does not have buddha nature, though 8 is clearly not prime.
RE
ZENDO
ELEUSIS
PLAY
BY
FORUM
Having buddha nature:
PLAY
Lacking buddha nature:
RE
ZENDO
ELEUSIS
BY
FORUM
AC
CA
NTOR
TORN
FMAT
Having buddha nature:
NTOR
TORN
FMAT
Lacking buddha nature:
AC
CA
EU
CLID
LER
HAVING
LACKING
Having buddha nature:
LER
CLID
HAVING (appropriately)
Lacking buddha nature:
EU
LACKING
L
CID
TOR
TON
TRN
ORN
Having buddha nature:
CID
TOR
TON
TRN
ORN
Lacking buddha nature:
L
LEMMINGSFORUMS
PLAYBYFORUM
HAVINGLACKING
BUDDHANATURE
^ All black.
Then I guess that AKHTBN iff its length is 3, 4, 6, 9 or 10.
That is not correct. For example, BERTRANDRUSSELL does have buddha nature.
Added from chat:
Having buddha nature:
RHABARBAHARABAHARBARA
MAURITSCORNELISESCHER
ABCDEFGHIJKLMNOP
HONORIFICABILITUDINITATIS
Lacking buddha nature:
ABCDEFGH
AABBAABI
CCBBCCBI
MAAABBBI
DOUGLASHOFSTADTER
DOUGLASRHOFSTADTER
SIMONNXXXXXXX
Y
ABCDEFGHIJKLMNOPQ
HONORIFICABILITUDINITATIBUS
RHUBARB
LADISLAUSBORTKIEWICZ
Clam guessed the correct rule in chat. The length must be a square or triangular number, but not both.
I even proposed a koan of length 36 just to be sure

---
New round:ALABAMA has the buddha nature
and
MISSISSIPPI does not have the buddha nature.
AKHTBN iff there's only one unique letter of the alphabet having the most occurances in the koan.
AKHTBN iff exactly one letter appears more than once in the koan.
AKHTBN iff at most one letter appears more than once in the koan.
PORCUPINE
KOANPINE
PINECONE
CONECONE
INVISIBLE
I
-- Simon
None of the guesses so far is correct. GEORGIA fits all of these rules but lacks buddha nature.
Having buddha nature:
ALABAMA
Lacking buddha nature:
MISSISSIPI
GEORGIA
PORCUPINE
KOANPINE
PINECONE
CONECONE
INVISIBLE
I
Enough American placenames, let's try some Japanese ones

AKASAKA
ASAKUSA
AZABUJUBAN
OSAKA
HINAMIZAWA
A
AAAA
LBM
ALBMA
ALABA
Having buddha nature:
ALABAMA
AKASAKA
ASAKUSA
AZABUJUBAN
AAAA
LBM
ALBMA
ALABA
Lacking buddha nature:
MISSISSIPI
GEORGIA
PORCUPINE
KOANPINE
PINECONE
CONECONE
INVISIBLE
I
OSAKA
HINAMIZAWA
A
Did everyone suddenly lose interest in the game?

If you want to move on to Eleusis now, just say so. If we do, I'd actually prefer a separate thread for it (despite the title of this one) so both games can run at once.
Did everyone suddenly lose interest in the game?
No, I am just very busy with work right now. Nevertheless I am not against moving on to Eleusis, at least after finishing this round of Zendo.
New Zendo-koans:
BLM
BML
LMB
MBL
BLM
ABA
I was just reluctant to take two consecutive turns

I have no objection to starting an Eleusis thread, but honestly, it doesn't sound like as interesting a game (in its online form) so I hope the Zendo thread stays active as well.
ASAKO
LJUBLJANA
LABURNUM
BIRMINGHAM
Sorry to be so impatient, I just don't want the game to die now that I finally get one going

Having buddha nature:
ALABAMA
AKASAKA
ASAKUSA
AZABUJUBAN
AAAA
LBM
ALBMA
ALABA
BLM (listed twice

)
Lacking buddha nature:
MISSISSIPI
GEORGIA
PORCUPINE
KOANPINE
PINECONE
CONECONE
INVISIBLE
I
OSAKA
HINAMIZAWA
A
BML
LMB
MBL
ABA
ASAKO
LJUBLJANA
LABURNUM
BIRMINGHAM
BLAM
CLAM
SPAM
EGG
AND
LEMMING
AA
AAA
this is getting interesting
DLAM
ELAM
FLAM
GLAM
HAM
JAM
MLB
BLT
LOBSTER
THERMIDOR
ASAKA
ASAKUSO
AZA
AZZA
AZZZA
AZZZZA
BZB
BZZB
BZZZB
EDIT: And I support Eleusis being in a different thread.
Having buddha nature:
ALABAMA
AKASAKA
ASAKUSA
AZABUJUBAN
AAAA
LBM
ALBMA
ALABA
BLM
EGG
AAA
HAM
JAM
BLT
ASAKA
AZZA
AZZZA
AZZZZA
BZZB
BZZZB
Lacking buddha nature:
MISSISSIPI
GEORGIA
PORCUPINE
KOANPINE
PINECONE
CONECONE
INVISIBLE
I
OSAKA
HINAMIZAWA
A
BML
LMB
MBL
ABA
ASAKO
LJUBLJANA
LABURNUM
BIRMINGHAM
BLAM
CLAM
SPAM
AND
LEMMING
AA
DLAM
ELAM
FLAM
GLAM
MLB
LOBSTER
THERMIDOR
ASAKUSO
AZA
BZB
AS
FB
WX
GP
EB
QL
RC
ZZ
VN
AL
EP
MN
LAM
LAMB
LUM
ABBA
ALBA
ALMA
LAMA
LLAMA
ELAN
FLAN
ALAN
Having buddha nature:
ALABAMA
AKASAKA
ASAKUSA
AZABUJUBAN
AAAA
LBM
ALBMA
ALABA
BLM
EGG
AAA
HAM
JAM
BLT
ASAKA
AZZA
AZZZA
AZZZZA
BZZB
BZZZB
LAM
ABBA
ALBA
Lacking buddha nature:
MISSISSIPI
GEORGIA
PORCUPINE
KOANPINE
PINECONE
CONECONE
INVISIBLE
I
OSAKA
HINAMIZAWA
A
BML
LMB
MBL
ABA
ASAKO
LJUBLJANA
LABURNUM
BIRMINGHAM
BLAM
CLAM
SPAM
AND
LEMMING
AA
DLAM
ELAM
FLAM
GLAM
MLB
LOBSTER
THERMIDOR
ASAKUSO
AZA
BZB
AS
FB
WX
GP
EB
QL
RC
ZZ
VN
AL
EP
MN
LAMB
LUM
ALMA
LAMA
LLAMA
ELAN
FLAN
ALAN
BBB
BCB
BDB
AZZB
BZZA
Having buddha nature:
ALABAMA
AKASAKA
ASAKUSA
AZABUJUBAN
AAAA
LBM
ALBMA
ALABA
BLM
EGG
AAA
HAM
JAM
BLT
ASAKA
AZZA
AZZZA
AZZZZA
BZZB
BZZZB
LAM
ABBA
ALBA
BBB
AZZB
BZZA
Lacking buddha nature:
MISSISSIPI
GEORGIA
PORCUPINE
KOANPINE
PINECONE
CONECONE
INVISIBLE
I
OSAKA
HINAMIZAWA
A
BML
LMB
MBL
ABA
ASAKO
LJUBLJANA
LABURNUM
BIRMINGHAM
BLAM
CLAM
SPAM
AND
LEMMING
AA
DLAM
ELAM
FLAM
GLAM
MLB
LOBSTER
THERMIDOR
ASAKUSO
AZA
BZB
AS
FB
WX
GP
EB
QL
RC
ZZ
VN
AL
EP
MN
LAMB
LUM
ALMA
LAMA
LLAMA
ELAN
FLAN
ALAN
BCB
BDB
DIRIGIBLE
^ lacks Buddha nature
AAM
AMM
RAM
BAM
CAM
ZAM
YAM
XAM
Having buddha nature:
AAM
AMM
BAM
CAM
Lacking buddha nature:
RAM
ZAM
YAM
XAM
I'll stop posting the full list every time, for now.
MAN
NAM
MAN has buddha nature, NAM does not.
Half a year after thread activity, I think it's safe to ask for the solution. :lix-blush:
-- Simon
Ah yes, this game still exists... :lix-tongue:
The rule was: AKHTBN iff the 3rd letter matches the 3rd letter in alphabetical order (and the koan has at least 3 letters).
So for example (going back to the initial koans):
ALABAMA – AAAABLM has buddha nature
MISSISSIPPI – IIIIMPPSSSS lacks buddha nature
Floor is open, let's revive this great forum game! :lix-grin:
Oh, that's a good one!
Hm, been a while and no one's started a new round? I might as well give it a go, then...
Examples of white koans (has Buddha nature):
FIRE
MIGHTY
Examples of black koans (does not have Buddha nature):
FIRES
MIGHT
Good luck. :)
FIREY
FIREQ
FIREQUISITE
FIR
-- Simon
MIGHTS
NIGHT
FIGHT
MIRE
Lacks the Buddha nature:
FIREY
FIREQ
FIREQUISITE
FIR
NIGHT
FIGHT
Has the Buddha nature:
MIGHTS
MIRE
Let's keep this going. Here's a few more examples:
Lacks the Buddha nature:
DOGS
MEANT
SITES
FREAKY
GAMER
Has the Buddha nature:
DOG
MEAN
SITE
FREAK
GAMING
(Hm, I am kinda wondering if I made this one a bit too tricky...)
Koan list formatter is in the attachment. Needs a compiler for the D Programming Language to run. Read the attached file for detailed instructions.
DOGE
DOGTOR
MIGHTYMIGHTYMIGTHY
MIGHTYFREAKY
MIGHTYDOGGY
-- Simon
DOGSS
DOGSSS
DOGT
GAME
FIRER
Has the Buddha nature:
DOG
FIRE
FREAK
GAMING
MEAN
MIGHTS
MIGHTY
MIRE
SITE
DOGSSS
GAME
Lacks the Buddha nature:
DOGS
FIGHT
FIR
FIREQ
FIREQUISITE
FIRES
FIREY
FREAKY
GAMER
MEANT
MIGHT
NIGHT
SITES
DOGE
DOGTOR
MIGHTYFREAKY
MIGHTYDOGGY
DOGSS
DOGT
FIRER
So DOG passes, but not DOGS or DOGSS, then again DOGSSS passes.
New koans:
S
SS
SSS
MIGHTYS
MIGHTYSSS
DOGSSSS
FREAKKK
MIGHTYMIGHTYMIGHTY
-- Simon
GAMES
GAMERS
GAMESS
GAMESSS
FIREQQ
FIREQQQ
Rule guess:
Convert letters in koans to numbers (A = 1, B = 2, ...), sum all resulting numbers. Koan is buddha iff total is divisible by 3.
I have only checked DOGS, which adds to 45, so it's worth a try. Adding 3 of the same letter will not change status apparently.
Oh my. DOG was the passing one, not DOGS.
Some new test koans instead:
GOD
DOGC
DOGCC
DOGA
DOGAA
-- Simon
Has TBN:
SSS
GAMERS
GAMESS
GOD
Lacks TBN:
S
SS
MIGHTYS
MIGHTYSSS
DOGSSSS
FREAKKK
MIGHTYMIGHTYMIGHTY
GAMES
GAMESSS
FIREQQQ
DOGC
DOGCC
DOGA
DOGAA
I'll give you one more based on that suggestion (mainly because I checked it due to misreading yours): FIREQQQQ has the Buddha nature.
DOGAAA
DOGRST
GAMERST
DOGF
DOGI
HTBN:
DOGAAA
LTBN:
DOGRST
GAMERST
DOGF
DOGI
I'll drop another hint (or rather, give an infinite number of white koans):
All sequences consisting of multiple As in a row and nothing else, have the Buddha nature, except for A and AA. (Though as you can clearly see, those aren't the only koans that have it.)
New koans:
AKALAZAM
EERIE
POOL
FRQQQQ
SMIGHT
GITSMH
Rambling: Koans don't seem to depend on order of letters. Having the same letter make up at exactly half of the koan seems to makes stuff correct. Strange: Freak good, and Freaky bad. Mighty good, and Might bad. "mainly because I checked it due to misreading yours" -> buddha nature depends on some nonintuitive algorithm, at least it's not decidable on first sight, in 1-2 seconds.
-- Simon
HTBN:
AKALAZAM
SMIGHT
GITSMH
LTBN:
EERIE
POOL
FRQQQQ
DUG
DIG
ZIX
YIU
HOT
HPT
TTT
-- Simon
HTBN :D
DUG
DIG
YIU
LTBN :'(
ZIX
HOT
HPT
TTT
TTT black is interesting. Here's the sorted list, so others can hack on while I'm sleeping.
See my last post in this round for the updated sorted list.
-- Simon
SSSS
Q
QQ
QQQ
QQQQ
HTBN:
QQQQ
LTBN:
SSSS
Q
QQ
QQQ
BBB
CCC
DDD
EEE
FFF
QQQQQ
CLAM
SPAM
LIX
WHITE
BLACK
TW
OL
ET
TE
RK
OA
NS
HTBN:
DDD
CLAM
SPAM
LTBN:
BBB
CCC
EEE
FFF
QQQQQ
LIX
WHITE
BLACK
TW
OL
ET
TE
RK
OA
NS
RS
Y
QQQQQQ
QQQQQQQQ
KLZM
TTTT
SPAMGOD
-- Simon
HTBN:
QQQQQQQQ
LTBN:
RS
Y
QQQQQQ
KLZM
TTTT
SPAMGOD
GIT
SMH
GAM
ING
FIQQ
REQQ
HOTLIX
DOGENIGHT
BLACKPOOL
MIGHTYMIGHTY
HTBN:
SMH
GAM
FIQQ
REQQ
LTBN:
GIT
ING
HOTLIX
DOGENIGHT
BLACKPOOL
MIGHTYMIGHTY
RIFE
GYMHIT
AMEN
MEGA
QQQQFIRE
GNIGMA
LOOP
RMEGA
SERIF
THMIG
TTTTT
BBBB
BBBBB
BBBBBB
Q{12} <-- exactly 12 letters Q
Q{16}
-- Simon
HTBN:
RIFE
GYMHIT
AMEN
MEGA
QQQQFIRE
GNIGMA
Q{16}
LTBN:
LOOP
RMEGA
THMIG
TTTTT
BBBB
BBBBB
BBBBBB
Q{12}
DDDD
DDDDD
DDDDDD
SSSSS
SSSSSS
GGG
HHH
(also, you missed SERIF ;))
HTBN:
GGG
SSSSSS
LTBN:
SERIF
DDDD
DDDDD
DDDDDD
SSSSS
HHH
The work has come to a halt again. I'd like additional hints. Let's see whether Proxima and Clam barge in and don't want hints. :-)
Complete list of koans are in my latest post before this one.
Current ideas: Anything < 3 letters is black. Some letters allow same-letter koans, others don't. The allowed length varies highly. The status is independent of anagramming.
I have shoved the koans through a number-crunching script (http://asdfasdf.ethz.ch/~simon/etc/zendo-reduced.txt), but didn't see any pattern. The script converts letters into numbers, sorts, and adds them.
-- Simon
In response to your current ideas:
Spoiler
Anything < 3 letters is black
This is completely correct.
Some letters allow same-letter koans, others don't
Not true. All letters are possible to come up with a koan that contains them multiple times; in fact, there are only two letters for which a white koan cannot be made that consists of nothing but the same letter repeated multiple times.
The allowed length varies highly
Not true. As the example with A suggests, there is no maximum length of a valid koan. There is no length where a long string of As is the only valid koan of that length.
The status is independent of anagramming
This is not true in 100% of cases. To give a counterexample:
TMI and TIM are black koans
MIT and MTI are white koans
However, it is true in the majority of cases.
If you'd like a major hint:
Spoiler
Something that has been suggested before is at least on the right track. However, it may help to re-imagine that solution as if you were a computer rather than a human. This alone will not solve the puzzle, but will get you much closer.
SSSSSSSSS (nine)
QQQ...QQQ (65536)
QQQ...QQQ (65537)
RST
FIRST
HTBN:
S{9}
LTBN:
Q{65536}
Q{65537}
RST
FIRST
@Simon: Do you have some kind of script you're using to make those formatted lists?
Theory: Single-letter koans with a letter other than A have the buddha-nature if and only if the length is a factor of (the letter's alphabetic position - 1).
I think you meant "if (the letter's alphabetic position - 1) is a factor of the length", but yes, I certianly cannot think of any counter-example to that theory, even though it isn't an explicit part of the rule as such. Of course, it isn't quite a solution, since it doesn't account for koans that don't consist solely of a single letter repeated multiple times.
EDIT: No, I think your wording might be the correct one. I'm bad with technical mathematics terms. But if I'm understanding you correctly, then yes, your theory is still correct.
No?
Let id0 be the function on single letters that maps A to 0, B to 1, C to 2, ..., Z to 25.
Then Proxima's half-rule states: For each letter c that is not A, a koan that contains exactly n >= 3 copies of c [and nothing else, EDIT Simon after namida's reply] is buddha iff id0(c) divides n. Equivalently, that koan is budda iff there exists a natural number m with id0(c) * m = n.
The marked koans violate this, because the koan BBB is black. (Everything of the form B{n} with n >= 3 appers to be black.) Also, namida mentioned there exist two letters, such that koans consisting only of copies of that letter are always black.
Noes, I can't read properly. n divides id0(c) is the claim. That would make B and C the two letters that make only black same-letter koans.
-- Simon
The way you've worded it sounds like it applies to any koan that contains the letter that number of times. This is true when they contain nothing else but that letter X number of times, but not always true if they contain other letters as well. This doesn't mean that such a koan will never be white, though.
Right. Edited.
My instinct was to avoid a weird mix of regular expressions and math, but it's probably the only concise notation. >_> Let c be a letter, n >= 3. Then c{n}, which denotes n times the token c, is white iff n divides id0(c). This is true even for A, B, C, because no number >= 3 divides 1 or 2, and all numbers divide 0.
Having this for same-letter koans, there is obviously some magic happening at 3, and some method to mangle non-same-letter koans. The given example koans for anagram-changes-buddha were 3 letters long.
New koans:
SOMETHINGDDD
MIGHTYDDD
MIGHTYCC
ABC
BAC
AYZ
ZYA
YAZ
BCD
-- Simon
White:
ABC
AYZ
ZYA
YAZ
Black:
SOMETHINGDDD
MIGHTYDDD
MIGHTYCC
BAC
BCD
What about the empty koan, have we had that one yet? Or was it perhaps explicitly forbidden at some point?
The general rules of the game define it as always black.
The general rules of the game disallow the empty koan. It's not part of the koanspace.
The reason is pragmatic: In the tabletop game, a marked empty koan looks like a stray marking stone.
Allowing the empty koan is a minor variant, and it doesn't affect the game. If you want to test the empty koan, then do it. Secret rules can be evaluated on the empty koan in the normal fashion. ("The X is Y" fails if there are no X, or if there are more than one X, or if there is exactly one X that is not Y.)
-- Simon
If you wanted to evaluate that, then on this, the empty koan would be black.
RTS
STR
BCA
MIGHTYQQQQ
MIGHTYGGGGGG
White:
STR
Black:
RTS
BCA
MIGHTYQQQQ
MIGHTYGGGGGG
Maybe I should drop a few more hints...
Spoiler
1. Koans of a length less than 3 letters are explicitly defined as black by the rule; it's not just a side effect of the rules.
2. Anagrams will never have a different status if the first letter remains unchanged (but will not always have a different status just because the first letter is changed).
3. Except for koans of a length less than 3 letters, no black koans exist where at least half the letters are A.
4. There is no explicitly-defined special treatment of A in the rule. (There is no loophole going on here along the lines of "B, C, D, ... X, Y and Z have explicitly-defined special treatment", either.)
Koan list only.
White koans:
AAA(A*) DOGSSS GAMING MIRE SPAM
ABC DUG GGG QQQQ SSS
AKALAZAM FIQQ GITSMH QQQQFIRE SSSSSS
AMEN FIRE GNIGMA QQQQQQQQ STR
AYZ FIREQQQQ GOD Q{16} S{9}
CLAM FREAK GYMHIT REQQ YAZ
DDD GAM MEAN RIFE YIU
DIG GAME MEGA SITE ZYA
DOG GAMERS MIGHTS SMH
DOGAAA GAMESS MIGHTY SMIGHT
Black koans:
A DOGCC FIREQQQ ING OA SITES
AA DOGE FIREQUISITE KLZM OL SOMETHINGDDD
BAC DOGENIGHT FIRER LIX POOL SPAMGOD
BBB DOGF FIRES LOOP Q SS
BBBB DOGI FIREY MEANT QQ SSSS
BBBBB DOGRST FIRST MIGHT QQQ SSSSS
BBBBBB DOGS FREAKKK MIGHTYCC QQQQQ TE
BCA DOGSS FREAKY MIGHTYDDD QQQQQQ THMIG
BCD DOGSSSS FRQQQQ MIGHTYDOGGY Q{12} TTT
BLACK DOGT GAMER MIGHTYFREAKY Q{65536} TTTT
BLACKPOOL DOGTOR GAMERST MIGHTYGGGGGG Q{65537} TTTTT
CCC EEE GAMES MIGHTYMIGHTY RK TW
DDDD EERIE GAMESSS MIGHTYMIGHTYMIGHTY RMEGA WHITE
DDDDD ET GIT MIGHTYQQQQ RS Y
DDDDDD FFF HHH MIGHTYS RST ZIX
DOGA FIGHT HOT MIGHTYSSS RTS
DOGAA FIR HOTLIX NIGHT S
DOGC FIREQ HPT NS SERIF
(x)* is a repetition of (x) 0 or more times.
(x){n} is a repetition of (x) exactly n times.
-- Simon
Funny time to drop extra hints, when the game has started to move again after a lull. If no-one posted for a few days, then you'd have every reason to think we might need a bit of help.
SUQ
GGGGGGMIGHTY
MIGHTYYYYYYY
MIGHTZZZZZ
EEEEFIRE
IIIIFIRE
White:
SUQ
MIGHTYYYYYYY
IIIIFIRE
Black:
GGGGGGMIGHTY
MIGHTZZZZZ
EEEEFIRE
The reason I thought to drop the hints is that we'd only had a small number of guesses since that lull, only one of which was a white koan. :)
Hmm. I had an idea while I was swimming today, but now I look back, it doesn't quite fit everything so far. Still, I suspect it's close.
Theory: Length must be at least 3, and must be a factor of (alphabetic position - 1) of the most common letter. If multiple letters occur as the most common, the first appearing in the koan is the one that counts.
The following koans are the only ones so far that don't fit this rule:
white -- rule predicts black
FIRE
GAME
RIFE
SITE
SPAM
ZYA
black -- rule predicts white
FIREQ
FIRES
FIREY
FIRST
GIT
MIGHTYMIGHTY
It's on the right track. (alphabetic position - 1) definitely does have something to do with it, as does factors of the length, but most common letter does not - however, thinking about that might lead you to the correct answer.
I would mention that one thing I previously stated would contradict your theory - that in the case of anagrams, the status won't change unless the first letter changes. Thus (ignoring all other elements but the most common letter thing), your theory would suggest ABBCC and ACCBB could possibly have a different outcome; but they could not as the first letter is unchanged. However, ABBCC and CCABB possibly could.
(For the record, all four of those example koans are, in fact, black.)
Hm... gone quiet again. Maybe I should follow Proxima's suggestion and use times like this to drop a hint...
In fact, no. I'll drop part (albeit a minor part) of the rule.
Spoiler
Except for the purpose of "what is the length of the koan", one part of the rule can be thought of as "count the first letter twice". This is why a different first letter can impact the black/white status of a koan, but anagramming the rest of the koan (while keeping the first letter unchanged) cannot.
Is it safe to say people have given up on this one?
If we go a couple days more without much interest, I'll reveal the rule, and someone else can make another round (or perhaps I'll do one with a simpler rule).
I'd lean towards ending the game, too.
It is common for new masters to make rules too hard on accident. You have noticed this surprisingly early, and then handled it really well by offering hints or an early end. It's much better this way than attempting to change the secret rule mid-game.
-- Simon
Okay well,
The rule was:
Assigning each letter a number, where A = 0, B = 1 etc, a koan of at least three letters is white if the quantity of letters who's numbers are integer multiples of the length is equal or greater than the quantity of letters that are not, with the first letter being counted twice if it is a multiple.
If no one else wants to take the next game, I have an idea for a not-so-complicated rule. :)
I've reread that rule like five times, but I still don't really get it :confused:
I'll go next, since I at least got closer than anyone else :P
EVEN has the Buddha-nature.
ODD does not have the Buddha-nature.
EVAN
EVIN
EVON
EVUN
OOD
DDO
NEVE
White:
EVEN
NEVE
Black:
DDO
EVAN
EVIN
EVON
EVUN
ODD
OOD
EE
NN
VV
EVE
NEV
NEVER
GIVE
UP
Asked and answered in chat: all anagrams of "EVEN" have the buddha-nature.
White:
EE
EVE
NN
NEVER
VV
Black:
DDO
EVAN
EVIN
EVON
EVUN
GIVE
NEV
ODD
OOD
UP
EEVEE
SEE
EAGER
EEL
PETER
White:
EAGER
EE
EEL
EVE
EVEN (and all anagrams of EVEN)
NN
NEVER
PETER
SEE
VV
Black:
DDO
EEVEE
EVAN
EVIN
EVON
EVUN
GIVE
NEV
ODD
OOD
UP
ART
ANIMA
ISIS
INDICATING
POLONIUM
HOMOPHONE
ENEMY
White:
ART
EAGER
EE
EEL
EVE
EVEN (and all anagrams of EVEN)
INDICATING
NN
NEVER
PETER
SEE
VV
Black:
ANIMA
DDO
EEVEE
ENEMY
EVAN
EVIN
EVON
EVUN
GIVE
HOMOPHONE
ISIS
NEV
ODD
OOD
POLONIUM
UP
Rule guess: Every vowel that is in the koan must occur an equal number of times to its ordinal value (ie. 1x A, 2x E, etc).
Well, that was a quick round :P
Wait, ahouldn't that mean ENEMY is white? Unless you also count 6x Y.
Yes, Y counts as a vowel in this rule. I assumed you'd included the ENEMY guess specifically to check whether this was the case or not.
(Bonus puzzle: what are the first three positive integers whose English names are white with this rule?)
Three, seven, twelve. :)
I'll start a new round soon.
Oops, I forgot twelve. :P Then what's the next?
No idea. :P I'm sure I could get it quickly if I wrote a code snippet to work it out, but that defeats the purpose (plus then there's the question of how exactly one words them - "One Hundred And Twelve"? "A Hundred And Twelve"? "Hundred And Twelve"? etc).
Anyway, let's start a new round. :) And I promise the rule is much simpler this time.
White:
RATE
Black:
RAGE
TEAR
RARE
ATE
AGE
GREAT
White:
ATE
RARE
RATE
Black:
AGE
GREAT
RAGE
TEAR
ATG
ATT
RAG
RASE
RAT
White:
ATE
ATG
ATT
RARE
RASE
RAT
RATE
Black:
AGE
GREAT
RAG
RAGE
TEAR
EDIT: Made a mistake before. ATT is white, not black.
EAT
RAGG
RAHE
SAGE
SATE
First test of generating a formatted list with my new app...
White Koans
ATE ATT RASE RATE
ATG RARE RAT SATE
Black Koans
AGE RAG RAHE
EAT RAGE SAGE
GREAT RAGG TEAR
Let's drop a hint... a very minor one to start with.
Spoiler
All black koans are at least two letters long.
Dust off the Delphi koanizer for...
AAA
ABC
ACB
BAC
AAAA
AAAAA
-- Simon
Shit. I'm not even sure if I remember the rule anymore. I think I know what it was, gimme a sec to run through the list and see.
EDIT: Yep, okay, I remember the rule now. Gimme a sec to dig up the app, now... (wonder if I still have that...?)
EDIT: Yes! Still got the tool too. (Wasn't sure, due to a computer replacement in the recent past; but that was obviously before I made the tool. Either that or I actually copied a random two-second throw-together app that's in a place I don't usually keep source code. xD)
White Koans
AAA ATE RARE RATE
AAAA ATG RASE SATE
AAAAA ATT RAT
Black Koans
ABC BAC RAG RAHE
ACB EAT RAGE SAGE
AGE GREAT RAGG TEAR
BBBBB
TTTTT
ASE
AUE
AREAT
AAEAT
AAAAT
-- Simon
White Koans
AAA ASE AUE RAT
AAAA ATE BBBBB RATE
AAAAA ATG RARE SATE
AAAAT ATT RASE TTTTT
Black Koans
AAEAT AREAT RAG SAGE
ABC BAC RAGE TEAR
ACB EAT RAGG
AGE GREAT RAHE
Hm... given that people gave up on this one for a while, should I consider dropping another hint...?
Hints: Hnn no. The game is reasonably early, and there are patterns to explore. People may have grown bored of the game, but don't seem to be out of ideas.
RAE
AE
RE
RARERARE
AAATT
ATEAR
ARARE
-- Simon
White Koans
AAA ARARE AUE RAT
AAAA ASE BBBBB RATE
AAAAA ATE RARE RE
AAAAT ATG RARERARE SATE
AAATT ATT RASE TTTTT
Black Koans
AAEAT AREAT RAE SAGE
ABC ATEAR RAG TEAR
ACB BAC RAGE
AE EAT RAGG
AGE GREAT RAHE
(Sorry, last entries' ones are still bolded here... forgot to click the button to clear them from the "New" list and am too lazy to manually edit it... xD)
GATE
RATEG
EATE
EEEEE
EGG
White Koans
AAA ASE EEEEE RE
AAAA ATE RARE SATE
AAAAA ATG RARERARE TTTTT
AAAAT ATT RASE
AAATT AUE RAT
ARARE BBBBB RATE
Black Koans
AAEAT ATEAR GREAT RATEG
ABC BAC RAE SAGE
ACB EAT RAG TEAR
AE EATE RAGE
AGE EGG RAGG
AREAT GATE RAHE
ATATA
AERR
CC
RATEE
RATEEE
RATEEEE
RATEZ
RATEZZ
RATEZZZ
-- Simon
White Koans
AAA ATE RARERARE RATEZZ
AAAA ATG RASE RATEZZZ
AAAAA ATT RAT RE
AAAAT AUE RATE SATE
AAATT BBBBB RATEE TTTTT
ARARE CC RATEEE
ASE EEEEE RATEEEE
ATATA RARE RATEZ
Black Koans
AAEAT AREAT GATE RAHE
ABC ATEAR GREAT RATEG
ACB BAC RAE SAGE
AE EAT RAG TEAR
AERR EATE RAGE
AGE EGG RAGG
Seems to have died off again, so here's a hint...
Spoiler
Any substring of a white koan will also be a white koan.
Guess: a koan has the buddha-nature if, for every two letters consecutive within the koan, they are either identical or else are from opposite halves of the alphabet (A-M and N-Z).
Congratulations, that's correct! :)
That was a tough one -- but the hints were very helpful!
My turn now.....
BUBBLE has the Buddha-nature
WRAP does not have the Buddha-nature
BUBBLEWRAP
WRAPBUBBLE
BULE
BU
B
ARPR
BBBELU
BELU
-- Simon
White:
ARPR
B
BBBELU
BELU
BU
BUBBLE
BUBBLEWRAP
BULE
WRAPBUBBLE
Black:
WRAP
W
WRA
WRAPPER
WRAPWRAP
XRAP
-- Simon
White:
ARPR
B
BBBELU
BELU
BU
BUBBLE
BUBBLEWRAP
BULE
WRA
WRAPBUBBLE
WRAPPER
Black:
APRW
W
WRAP
WRAPWRAP
XRAP
YRAP
V
N
M
WW
WRAB
-- Simon
White:
ARPR
B
BBBELU
BELU
BU
BUBBLE
BUBBLEWRAP
BULE
WRA
WRAPBUBBLE
WRAPPER
YRAP
Black:
APRW
M
N
V
W
WRAB
WRAP
WRAPWRAP
WW
XRAP
O
OZ
OZZ
OZZZ
BZZZZ
-- Simon
White:
ARPR
B
BBBELU
BELU
BU
BUBBLE
BUBBLEWRAP
BULE
BZZZZ
WRA
WRAPBUBBLE
WRAPPER
YRAP
Black:
APRW
H
M
N
O
OZ
OZZ
OZZZ
V
W
WRAB
WRAP
WRAPWRAP
WW
X
XRAP
The joys of debugging.
Y
YR
YRA
WRAPPE
WRAPP
UBBLE
ULE
-- Simon
White:
ARPR
B
BBBELU
BELU
BU
BUBBLE
BUBBLEWRAP
BULE
BZZZZ
WRA
WRAPBUBBLE
WRAPP
WRAPPER
Y
YRAP
Black:
APRW
H
M
N
O
OZ
OZZ
OZZZ
UBBLE
ULE
V
W
WRAB
WRAP
WRAPPE
WRAPWRAP
WW
X
XRAP
YR
YRA
Wild speculation, which shall not provoke hints, but which people love to read anyway:
* Order of letters doesn't seem to matter
* Symmetry of individual letters seems to play a role.
* If you can mirror letters vertically (B, E), it tends to make koans white. Vertical mirroring means there is a horizontal axis of symmetry.
* Horizontal symmetry, or both symmetry axes present (W, V, H, X, O) don't contribute or maybe make actively black. If there is something to this hunch, then probably both axes present makes them cancel out each other.
Guess: AKHTBN iff count(vertical-symmetric letters = horizontal axis of symmetry) > count(horizontal-symmetric letters = vertical axis of symmetry). <-- Fails for WRAPPER, which is white.
WRAP black, WRAPP white. Also Y white.
New koans:
UBLE
BBELU
YO
YOO
-- Simon
White:
ARPR
B
BBBELU
BELU
BU
BUBBLE
BUBBLEWRAP
BULE
BZZZZ
UBLE
WRA
WRAPBUBBLE
WRAPP
WRAPPER
Y
YO
YOO
YRAP
Black:
APRW
BBELU
H
M
N
O
OZ
OZZ
OZZZ
UBBLE
ULE
V
W
WRAB
WRAP
WRAPPE
WRAPWRAP
WW
X
XRAP
YR
YRA
BB
BBBB
BBBBB
YY
BY
A
R
LU
Attached is the koan formatter with a batch file. How to use:
- Extract archive somewhere.
- Add new white koans at the end of zendo-w.txt. If you add them after an empty line, they'll be bolded.
- Add new black koans at the end of zendo-b.txt.
- Run runme.bat.
- This should generate a file output.txt, copy&paste its contents into a new forum post.
-- Simon
White:
ARPR
B
BBBBB
BBBELU
BELU
BU
BUBBLE
BUBBLEWRAP
BULE
BZZZZ
LU
R
UBLE
WRA
WRAPBUBBLE
WRAPP
WRAPPER
Y
YO
YOO
YRAP
Black:
A
APRW
BB
BBBB
BBELU
BY
H
M
N
O
OZ
OZZ
OZZZ
UBBLE
ULE
V
W
WRAB
WRAP
WRAPPE
WRAPWRAP
WW
X
XRAP
YR
YRA
YY
If you prefer a GUI-based tool that makes a list with multiple rows, here's my tool. Windows-only, although I would be very surprised if it didn't work perfectly under WINE. It does require manually saving / loading the files.
As for this round itself... I'm clueless.
RR
RRR
YYY
OO
OOO
XX
XXX
Awesome, thanks namida! :thumbsup:
White Koans
ARPR BUBBLE RRR Y
B BUBBLEWRAP UBLE YO
BBBBB BULE WRA YOO
BBBELU BZZZZ WRAPBUBBLE YRAP
BELU LU WRAPP YYY
BU R WRAPPER
Black Koans
A N UBBLE WW
APRW O ULE X
BB OO V XRAP
BBBB OOO W XX
BBELU OZ WRAB YR
BY OZZ WRAP YRA
H OZZZ WRAPPE YY
M RR WRAPWRAP XXX
Simon got the rule in chat. A koan has the buddha nature if and only if it contains an odd number of vertical line segments; equivalently, an odd number of letters from the class {B, D, E, F, G, I, J, K, L, P, R, T, Y}.
I was shying away from testing single letters, because I believed that the exising koans were already disproving such a two-class theory already. Checking again, they didn't, which led to the solution.
Thanks for being quick to mark at all times, even after a long hiatus!
New round:
ENOUGHTHINGS are white.
OTHERSTUFF is black.
-- Simon
Hmm, quite complex starting koans, so let's break them down a bit....
ENOUGH
THINGS
OTHER
STUFF
ENOUGHSTUFF
OTHERTHINGS
White koans:
ENOUGH
ENOUGHSTUFF
ENOUGHTHINGS
Black koans:
OTHERSTUFF
OTHERTHINGS
STUFF
THINGS
E
EN
ENO
ENOU
ENOUG
White koans:
E
EN
ENO
ENOU
ENOUG
ENOUGH
ENOUGHSTUFF
ENOUGHTHINGS
Black koans:
OTHERSTUFF
OTHERTHINGS
STUFF
THINGS
ESTUFF
ETHINGS
ONOUGH
FNOUGH
FSTUFF
White koans:
E ENOUGHSTUFF
EN ENOUGHTHINGS
ENO ESTUFF
ENOU ETHINGS
ENOUG FNOUGH
ENOUGH FSTUFF
Black koans:
COUNTEREXAMPLE <-- to rule guess AKHTBN iff it starts with A-M
ONOUGH
OTHERSTUFF
OTHERTHINGS
STUFF
THINGS
Rule guess attempt: Koan has buddha nature iff its first letter is in A-M.
Counterexample: COUNTEREXAMPLE starts with something in A-M, but is black. Added to previous koan listing.
-- Simon
C
COUNTER
DATA
F
G
White koans:
C ENOUGHSTUFF
COUNTER ENOUGHTHINGS
E ESTUFF
EN ETHINGS
ENO F
ENOU FNOUGH
ENOUG FSTUFF
ENOUGH G
Black koans:
COUNTEREXAMPLE
DATA
ONOUGH
OTHERSTUFF
OTHERTHINGS
STUFF
THINGS
EXAMPLE
STUFFEXAMPLE
FNOUGHEXAMPLE
EXAMPLEEXAMPLE
EXAM
C ENOUGHSTUFF
COUNTER ENOUGHTHINGS
E ESTUFF
EN ETHINGS
ENO F
ENOU FNOUGH
ENOUG FSTUFF
ENOUGH G
Black koans:
COUNTEREXAMPLE ONOUGH
DATA OTHERSTUFF
EXAM OTHERTHINGS
EXAMPLE STUFF
EXAMPLEEXAMPLE STUFFEXAMPLE
FNOUGHEXAMPLE THINGS
EXAMPLECOUNTER
OTHER
EX
EXA
COUNTERENOUGH
White koans:
C ENOUGHSTUFF
COUNTER ENOUGHTHINGS
COUNTERENOUGH ESTUFF
E ETHINGS
EN EX
ENO F
ENOU FNOUGH
ENOUG FSTUFF
ENOUGH G
Black koans:
COUNTEREXAMPLE ONOUGH
DATA OTHER
EXA OTHERSTUFF
EXAM OTHERTHINGS
EXAMPLE STUFF
EXAMPLECOUNTER STUFFEXAMPLE
EXAMPLEEXAMPLE THINGS
FNOUGHEXAMPLE
EXO
ENA
XA
D
DA
DAT
White koans:
C ENOUGHSTUFF
COUNTER ENOUGHTHINGS
COUNTERENOUGH ESTUFF
D ETHINGS
E EX
EN EXO
ENO F
ENOU FNOUGH
ENOUG FSTUFF
ENOUGH G
Black koans:
COUNTEREXAMPLE EXAMPLEEXAMPLE
DA FNOUGHEXAMPLE
DAT ONOUGH
DATA OTHER
ENA OTHERSTUFF
EXA OTHERTHINGS
EXAM STUFF
EXAMPLE STUFFEXAMPLE
EXAMPLECOUNTER THINGS
A
O
COUNTERA
ENOUGHA
EXOUGH
White koans:
A ENOU EXO
C ENOUG EXOUGH
COUNTER ENOUGH F
COUNTERENOUGH ENOUGHSTUFF FNOUGH
D ENOUGHTHINGS FSTUFF
E ESTUFF G
EN ETHINGS O
ENO EX
Black koans:
COUNTERA EXAMPLECOUNTER
COUNTEREXAMPLE EXAMPLEEXAMPLE
DA FNOUGHEXAMPLE
DAT ONOUGH
DATA OTHER
ENA OTHERSTUFF
ENOUGHA OTHERTHINGS
EXA STUFF
EXAM STUFFEXAMPLE
EXAMPLE THINGS
H
HH
EA
EO
HGUONE
White koans:
A ENOUG EXOUGH
C ENOUGH F
COUNTER ENOUGHSTUFF FNOUGH
COUNTERENOUGH ENOUGHTHINGS FSTUFF
D EO G
E ESTUFF H
EN ETHINGS HH
ENO EX O
ENOU EXO
Black koans:
COUNTERA EXA OTHER
COUNTEREXAMPLE EXAM OTHERSTUFF
DA EXAMPLE OTHERTHINGS
DAT EXAMPLECOUNTER STUFF
DATA EXAMPLEEXAMPLE STUFFEXAMPLE
EA FNOUGHEXAMPLE THINGS
ENA HGUONE
ENOUGHA ONOUGH
HE
HNOUGH
JJ
DD
EXOM
White koans:
A ENOUG EXOUGH
C ENOUGH F
COUNTER ENOUGHSTUFF FNOUGH
COUNTERENOUGH ENOUGHTHINGS FSTUFF
D EO G
DD ESTUFF H
E ETHINGS HH
EN EX JJ
ENO EXO O
ENOU EXOM
Black koans:
COUNTERA EXA HNOUGH
COUNTEREXAMPLE EXAM ONOUGH
DA EXAMPLE OTHER
DAT EXAMPLECOUNTER OTHERSTUFF
DATA EXAMPLEEXAMPLE OTHERTHINGS
EA FNOUGHEXAMPLE STUFF
ENA HE STUFFEXAMPLE
ENOUGHA HGUONE THINGS
S
T
AX
AXE
ENEUGH
ONEUGH
White koans:
A EN ESTUFF G
AX ENEUGH ETHINGS H
AXE ENO EX HH
C ENOU EXO JJ
COUNTER ENOUG EXOM O
COUNTERENOUGH ENOUGH EXOUGH S
D ENOUGHSTUFF F T
DD ENOUGHTHINGS FNOUGH
E EO FSTUFF
Black koans:
COUNTERA EXAM ONOUGH
COUNTEREXAMPLE EXAMPLE OTHER
DA EXAMPLECOUNTER OTHERSTUFF
DAT EXAMPLEEXAMPLE OTHERTHINGS
DATA FNOUGHEXAMPLE STUFF
EA HE STUFFEXAMPLE
ENA HGUONE THINGS
ENOUGHA HNOUGH
EXA ONEUGH
AN
ANE
ANA
AXA
OX
OXE
White koans:
A D ENOUGHTHINGS FSTUFF
AN DD EO G
ANA E ESTUFF H
ANE EN ETHINGS HH
AX ENEUGH EX JJ
AXA ENO EXO O
AXE ENOU EXOM OX
C ENOUG EXOUGH S
COUNTER ENOUGH F T
COUNTERENOUGH ENOUGHSTUFF FNOUGH
Black koans:
COUNTERA EXAM ONOUGH
COUNTEREXAMPLE EXAMPLE OTHER
DA EXAMPLECOUNTER OTHERSTUFF
DAT EXAMPLEEXAMPLE OTHERTHINGS
DATA FNOUGHEXAMPLE OXE
EA HE STUFF
ENA HGUONE STUFFEXAMPLE
ENOUGHA HNOUGH THINGS
EXA ONEUGH
ONE
OXA
OXE
OXO
OXOM
OXOUGH
White koans:
A D ENOUGHTHINGS FSTUFF
AN DD EO G
ANA E ESTUFF H
ANE EN ETHINGS HH
AX ENEUGH EX JJ
AXA ENO EXO O
AXE ENOU EXOM OX
C ENOUG EXOUGH OXO
COUNTER ENOUGH F S
COUNTERENOUGH ENOUGHSTUFF FNOUGH T
Black koans:
COUNTERA EXA HNOUGH OXE
COUNTEREXAMPLE EXAM ONE OXE
DA EXAMPLE ONEUGH OXOM
DAT EXAMPLECOUNTER ONOUGH OXOUGH
DATA EXAMPLEEXAMPLE OTHER STUFF
EA FNOUGHEXAMPLE OTHERSTUFF STUFFEXAMPLE
ENA HE OTHERTHINGS THINGS
ENOUGHA HGUONE OXA
CC
EE
FF
GG
CCC
EEE
FFF
GGG
CEFG
White koans:
A CEFG ENO EXO GGG
AN COUNTER ENOU EXOM H
ANA COUNTERENOUGH ENOUG EXOUGH HH
ANE D ENOUGH F JJ
AX DD ENOUGHSTUFF FF O
AXA E ENOUGHTHINGS FFF OX
AXE EE EO FNOUGH OXO
C EEE ESTUFF FSTUFF S
CC EN ETHINGS G T
CCC ENEUGH EX GG
Black koans:
COUNTERA EXA HNOUGH OXE
COUNTEREXAMPLE EXAM ONE OXE
DA EXAMPLE ONEUGH OXOM
DAT EXAMPLECOUNTER ONOUGH OXOUGH
DATA EXAMPLEEXAMPLE OTHER STUFF
EA FNOUGHEXAMPLE OTHERSTUFF STUFFEXAMPLE
ENA HE OTHERTHINGS THINGS
ENOUGHA HGUONE OXA
AXA being white is very inconvenient to my latest ideas :(
HA
HENOUGH
TH
TS
ST
Checked the entire table, and everything is marked correctly. :lix-evil:
White koans:
A CEFG ENO EXO GGG
AN COUNTER ENOU EXOM H
ANA COUNTERENOUGH ENOUG EXOUGH HH
ANE D ENOUGH F JJ
AX DD ENOUGHSTUFF FF O
AXA E ENOUGHTHINGS FFF OX
AXE EE EO FNOUGH OXO
C EEE ESTUFF FSTUFF S
CC EN ETHINGS G ST
CCC ENEUGH EX GG T
Black koans:
COUNTERA EXAM HNOUGH OXE
COUNTEREXAMPLE EXAMPLE ONE OXOM
DA EXAMPLECOUNTER ONEUGH OXOUGH
DAT EXAMPLEEXAMPLE ONOUGH STUFF
DATA FNOUGHEXAMPLE OTHER STUFFEXAMPLE
EA HA OTHERSTUFF TH
ENA HE OTHERTHINGS THINGS
ENOUGHA HENOUGH OXA TS
EXA HGUONE OXE
STU
STUF
STUV
CDEFG
CEGG
EGG
HEN
White koans:
A CDEFG EGG ESTUFF FSTUFF S
AN CEFG EN ETHINGS G ST
ANA CEGG ENEUGH EX GG STU
ANE COUNTER ENO EXO GGG STUV
AX COUNTERENOUGH ENOU EXOM H T
AXA D ENOUG EXOUGH HH
AXE DD ENOUGH F JJ
C E ENOUGHSTUFF FF O
CC EE ENOUGHTHINGS FFF OX
CCC EEE EO FNOUGH OXO
Black koans:
COUNTERA EXAMPLE ONE OXOUGH
COUNTEREXAMPLE EXAMPLECOUNTER ONEUGH STUF
DA EXAMPLEEXAMPLE ONOUGH STUFF
DAT FNOUGHEXAMPLE OTHER STUFFEXAMPLE
DATA HA OTHERSTUFF TH
EA HE OTHERTHINGS THINGS
ENA HEN OXA TS
ENOUGHA HENOUGH OXE
EXA HGUONE OXE
EXAM HNOUGH OXOM
HI
HIJ
HIJK
FE
EXE
ON
White koans:
A CDEFG EGG ESTUFF FNOUGH JJ
AN CEFG EN ETHINGS FSTUFF O
ANA CEGG ENEUGH EX G OX
ANE COUNTER ENO EXE GG OXO
AX COUNTERENOUGH ENOU EXO GGG S
AXA D ENOUG EXOM H ST
AXE DD ENOUGH EXOUGH HH STU
C E ENOUGHSTUFF F HI STUV
CC EE ENOUGHTHINGS FF HIJ T
CCC EEE EO FFF HIJK
Black koans:
COUNTERA EXAMPLE HNOUGH OXE
COUNTEREXAMPLE EXAMPLECOUNTER ON OXOM
DA EXAMPLEEXAMPLE ONE OXOUGH
DAT FE ONEUGH STUF
DATA FNOUGHEXAMPLE ONOUGH STUFF
EA HA OTHER STUFFEXAMPLE
ENA HE OTHERSTUFF TH
ENOUGHA HEN OTHERTHINGS THINGS
EXA HENOUGH OXA TS
EXAM HGUONE OXE
Guess: A koan has the buddha nature if no contained letter is alphabetically earlier than its first letter.
You are enlightened!
auto buddha = (string koan) => koan.all!(c => c >= koan[0]);
And welcome to hosting the next round.
-- Simon
Awesome. And if I've counted correctly, this is the 22nd round! :thumbsup:
GABRIEL has the Buddha-nature.
CHARLES does not have the Buddha-nature.
CHAR
GAB
CABREL
ABEGILR
ACEHLRS
-- Simon
White:
ABEGILR
ACEHLRS
CABREL
GAB
GABRIEL
Black:
CHAR
CHARLES
CHA
CH
C
CA
ACHRLES
ACEHRLS
-- Simon
White:
ABEGILR
ACEHLRS
ACEHRLS
CABREL
CH
CHA
GAB
GABRIEL
Black:
ACHRLES
C
CA
CHAR
CHARLES
At Simon's suggestion, I compiled a list of all the rules that have been used in the game so far :)
All rules take the form: "A koan has the Buddha-nature if and if only..."
For rules that refer to vowels/consonants, it is noted whether Y counts as a vowel for this particular rule (although in three cases, the round ended without resolving this ambiguity!)
1. (Simon): its letters are not all different
2 (Insane Steve): at least half its letters are vowels (Y is consonant)
3 (geoo): all letters have either mirror or rotational symmetry
4 (ccexplore): it contains an odd number of consonants (Y not tested)
5 (möbius): exactly half its letters are vowels (Y not tested)
6 (Minim): each consonant occurs at most once (Y not tested)
7 (Simon): its first letter is alphabetically earlier than all its other letters
8 (Proxima): its length is greater than or equal to alphabetic position of its first letter
9 (ccexplore): it contains at least one letter from "AKHTBN" and letters from that string occur only in that order
10 (Clam): it contains two letters that are consecutive in the alphabet
11 (Nepster): exactly half its letters are from the first half of the alphabet
12 (Proxima): its first and last letters are the same or their alphabetic positions differ by a multiple of 4
13 (Ramon): it contains the letter whose alphabetic position equals its length
14 (Nepster): when arranged alphabetically, its last letter is a vowel (Y is consonant)
15 (Minim): the sum of alphabetic positions of its letters is prime
16 (Proxima): its length is square or triangular, but not both
17 (Clam): its third letter is the same as its third letter when arranged alphabetically
18 (namida): it has at least three letters, and at least half its letters have (alphabetic position - 1) a multiple of the length, with the first letter counting twice if it is a multiple
19 (Proxima): for each n, the nth vowel either does not appear or appears n times (Y is vowel)
20 (namida): every pair of adjacent letters are either the same or from opposite halves of the alphabet
21 (Proxima): it contains an odd number of letters with exactly one vertical line segment
22 (Simon): its first letter is the same as or alphabetically earlier than all its other letters
<SimonN> oh my, I hosted only 3 rounds, and used the same rule for 2 of them
<Proxima> :D
<SimonN> and the other round was the very first round with the easiest rule imaginable
ACE
ACH
XAXXIEX
XXAXXEX
White:
ABEGILR
ACE
ACEHLRS
ACEHRLS
ACH
CABREL
CH
CHA
GAB
GABRIEL
XAXXIEX
Black:
ACHRLES
C
CA
CHAR
CHARLES
XXAXXEX
A
XA
XXA
XXXA
E
XE
XXE
White:
ABEGILR
ACE
ACEHLRS
ACEHRLS
ACH
CABREL
CH
CHA
GAB
GABRIEL
XAXXIEX
XXA
XXE
XXXA
XXXE
Black:
A
ACHRLES
C
CA
CHAR
CHARLES
E
XA
XE
XXAXXEX
OMU
UTO
RR
HC
UOIEA
AC
White Koans
ABEGILR CABREL HC XAXXIEX
ACE CH OMU XXA
ACEHLRS CHA RR XXE
ACEHRLS GAB UOIEA XXXA
ACH GABRIEL UTO XXXE
Black Koans
A CA E XXAXXEX
ACHRLES CHAR XA AC
C CHARLES XE
RLIGEBA
SRLHECA
^ both white
G
H
R
S
GG
HH
RR
SS
White Koans
ABEGILR CHA RLIGEBA XXE
ACE GAB RR XXXA
ACEHLRS GABRIEL SRLHECA XXXE
ACEHRLS GG UOIEA SS
ACH HC UTO
CABREL HH XAXXIEX
CH OMU XXA
Black Koans
A CA G XA
AC CHAR H XE
ACHRLES CHARLES R XXAXXEX
C E S
I
O
U
Y
KING
QUEEN
JACK
JOKER
White Koans
ABEGILR CHA OMU UTO
ACE GAB QUEEN XAXXIEX
ACEHLRS GABRIEL RLIGEBA XXA
ACEHRLS GG RR XXE
ACH HC SRLHECA XXXA
CABREL HH SS XXXE
CH JOKER UOIEA
Black Koans
A CHARLES KING XE
AC E O XXAXXEX
ACHRLES G R Y
C H S
CA I U
CHAR JACK XA
AZ
AY
BZ
BY
White Koans
ABEGILR CH OMU XAXXIEX
ACE CHA QUEEN XXA
ACEHLRS GAB RLIGEBA XXE
ACEHRLS GABRIEL RR XXXA
ACH GG SRLHECA XXXE
BY HC SS
BZ HH UOIEA
CABREL JOKER UTO
Black Koans
A CA I U
AC CHAR JACK XA
ACHRLES CHARLES KING XE
AY E O XXAXXEX
AZ G R Y
C H S
AAA
BBB
YYY
ZZZ
^ all white
HA
AR
HR
CHR
CAR
HAR
White Koans
AAA CAR HR XAXXIEX
ABEGILR CH JOKER XXA
ACE CHA OMU XXE
ACEHLRS CHR QUEEN XXXA
ACEHRLS GAB RLIGEBA XXXE
ACH GABRIEL RR YYY
BBB GG SRLHECA ZZZ
BY HAR SS
BZ HC UOIEA
CABREL HH UTO
Black Koans
A CA I XA
AC CHAR JACK XE
ACHRLES CHARLES KING XXAXXEX
AR E O Y
AY G R
AZ H S
C HA U
ABRIELG
BRIELGA
RIELGAB
IELGABR
ELGABRI
LGABRIE
White Koans
AAA CABREL HH UTO
ABEGILR CAR HR XAXXIEX
ABRIELG CH JOKER XXA
ACE CHA OMU XXE
ACEHLRS CHR QUEEN XXXA
ACEHRLS ELGABRI RIELGAB XXXE
ACH GAB RLIGEBA YYY
BBB GABRIEL RR ZZZ
BRIELGA GG SRLHECA
BY HAR SS
BZ HC UOIEA
Black Koans
A CA I S
AC CHAR IELGABR U
ACHRLES CHARLES JACK XA
AR E KING XE
AY G LGABRIE XXAXXEX
AZ H O Y
C HA R
ABCD
ABDC
EBCD
EBDC
^ all white
FIGHTPOKEMONFIGHT
CHARMANDER
CHARMELEONGO
CHARIZARD
CANTLEARNAFIFTHMOVE
HOLIDAYFORCLAM
LOTSOFINFORMATION
SLEEPZZZZZZZZZZZ
-- Simon
White Koans
AAA CABREL HAR SRLHECA
ABCD CAR HC SS
ABDC CH HH UOIEA
ABEGILR CHA HOLIDAYFORCLAM UTO
ABRIELG CHARIZARD HR XAXXIEX
ACE CHARMELEONGO JOKER XXA
ACEHLRS CHR LOTSOFINFORMATION XXE
ACEHRLS EBCD OMU XXXA
ACH EBDC QUEEN XXXE
BBB ELGABRI RIELGAB YYY
BRIELGA GAB RLIGEBA ZZZ
BY GABRIEL RR
BZ GG SLEEPZZZZZZZZZZZ
Black Koans
A CANTLEARNAFIFTHMOVE HA S
AC CHAR I U
ACHRLES CHARLES IELGABR XA
AR CHARMANDER JACK XE
AY E KING XXAXXEX
AZ FIGHTPOKEMONFIGHT LGABRIE Y
C G O
CA H R
Bug report for namida's koan tool:
There is untrimmed whitespace at end of line, before linebreak. This allows the browser to wrap in the middle of the extra whitespace, because it becomes nonbreaking spaces. Looks like empty line inserted after each meaningful row.
Expected: Trimmed lines, without spaces that don't help to align anything.
(also, y u no break at 80 chars? Wrapping at 80 happens to fit my custom CSS, but there is no compelling reason for wrapping at 80 other than habitual wrapping of everything before 80, the width of a console.)
CHARMELEON
CHARMYLEONGO
CHARMELETTTT
CHARRRRTRUCK
-- Simon
White Koans
AAA CAR GG SRLHECA
ABCD CH HAR SS
ABDC CHA HC UOIEA
ABEGILR CHARIZARD HH UTO
ABRIELG CHARMELEONGO HOLIDAYFORCLAM XAXXIEX
ACE CHARMELETTTT HR XXA
ACEHLRS CHARMYLEONGO JOKER XXE
ACEHRLS CHARRRRTRUCK LOTSOFINFORMATION XXXA
ACH CHR OMU XXXE
BBB EBCD QUEEN YYY
BRIELGA EBDC RIELGAB ZZZ
BY ELGABRI RLIGEBA
BZ GAB RR
CABREL GABRIEL SLEEPZZZZZZZZZZZ
Black Koans
A CANTLEARNAFIFTHMOVE H R
AC CHAR HA S
ACHRLES CHARLES I U
AR CHARMANDER IELGABR XA
AY CHARMELEON JACK XE
AZ E KING XXAXXEX
C FIGHTPOKEMONFIGHT LGABRIE Y
CA G O
FIGHTPPKKMMNFFGHT
FIGHTPPKKMMN
FIGHTPPKK
FIGHTPP
Including some guesses from chat:
White Koans
AAA CAR GABRIEL SLEEPZZZZZZZZZZZ
ABCD CH GG SRLHECA
ABDC CHA HAR SS
ABEGILR CHARIZARD HC UOIEA
ABRIELG CHARMELEONGO HH UTO
ACE CHARMELETTTT HOLIDAYFORCLAM XAXXIEX
ACEHLRS CHARMYLEONGO HR XXA
ACEHRLS CHARRRRTRUCK JOKER XXE
ACH CHARRRRTRVCK LOTSOFINFORMATION XXXA
BBB CHR OMU XXXE
BRIELGA EBCD QUEEN YYY
BY EBDC RIELGAB ZZZ
BZ ELGABRI RLIGEBA
CABREL GAB RR
Black Koans
A CHAR FIGHTPPKKMMNFFGHT LGABRIE
AC CHARLES FIGHTPPKKMMNN O
ACHRLES CHARMANDER G R
AR CHARMELEON H S
AY E HA U
AZ FIGHTPOKEMONFIGHT I XA
C FIGHTPP IELGABR XE
CA FIGHTPPKK JACK XXAXXEX
CANTLEARNAFIFTHMOVE FIGHTPPKKMMN KING Y
ZARDICHAR
FIGHTPPKK
FIGHTPPOK
FIGHTPOKE
Slimmer listing of existing koans that breaks properly at 80 chars >_>
White koans:
AAA BBB CHARMELEONGO GAB LOTSOFINFORMATION UOIEA
ABCD BRIELGA CHARMELETTTT GABRIEL OMU UTO
ABDC BY CHARMYLEONGO GG QUEEN XAXXIEX
ABEGILR BZ CHARRRRTRUCK HAR RIELGAB XXA
ABRIELG CABREL CHARRRRTRVCK HC RLIGEBA XXE
ACE CAR CHR HH RR XXXA
ACEHLRS CH EBCD HOLIDAYFORCLAM SLEEPZZZZZZZZZZZ XXXE
ACEHRLS CHA EBDC HR SRLHECA YYY
ACH CHARIZARD ELGABRI JOKER SS ZZZ
Black koans:
A CHAR FIGHTPPKKMMNFFGHT LGABRIE
AC CHARLES FIGHTPPKKMMNN O
ACHRLES CHARMANDER G R
AR CHARMELEON H S
AY E HA U
AZ FIGHTPOKEMONFIGHT I XA
C FIGHTPP IELGABR XE
CA FIGHTPPKK JACK XXAXXEX
CANTLEARNAFIFTHMOVE FIGHTPPKKMMN KING Y
AA
ABAB
CDCD
ABA
ABBA
AAAA
ABCDEFA
ZYXWZ
ZYXW
White Koans
AA BY ELGABRI RR
AAA BZ FIGHTPPOK SLEEPZZZZZZZZZZZ
AAAA CABREL GAB SRLHECA
ABA CAR GABRIEL SS
ABBA CDCD GG UOIEA
ABCD CH HAR UTO
ABCDEFA CHA HC XAXXIEX
ABDC CHARIZARD HH XXA
ABEGILR CHARMELEONGO HOLIDAYFORCLAM XXE
ABRIELG CHARMELETTTT HR XXXA
ACE CHARMYLEONGO JOKER XXXE
ACEHLRS CHARRRRTRUCK LOTSOFINFORMATION YYY
ACEHRLS CHARRRRTRVCK OMU ZARDICHAR
ACH CHR QUEEN ZYXW
BBB EBCD RIELGAB ZYXWZ
BRIELGA EBDC RLIGEBA ZZZ
Black Koans
A CHAR FIGHTPPKKMMNFFGHT O
ABAB CHARLES FIGHTPPKKMMNN R
AC CHARMANDER G S
ACHRLES CHARMELEON H U
AR E HA XA
AY FIGHTPOKE I XE
AZ FIGHTPOKEMONFIGHT IELGABR XXAXXEX
C FIGHTPP JACK Y
CA FIGHTPPKK KING
CANTLEARNAFIFTHMOVE FIGHTPPKKMMN LGABRIE
Edited by Simon to remove extraneous whitespace at end of line :>
AAXXAXX
XAAAA
AXXXX
AAAXXX
AAAAXXXX
-- Simon
White:
AXXXX
XAAAA
Black:
AAAAXXXX
AAAXXX
AAXXAXX
Simon guessed the rule in chat, which was: The second letter and second-last letter must be both vowels or both consonants (so all 1-letter koans are black by default). Y counts as a consonant for this rule.
Since it's almost been a month without anyone starting a new round, I hope there will be no objections if I do so.
White: EDITOR
Black: DOSBOX
FREAK
FISH
FILE
TEAM
BANANA
AGE
AGES
EDIT
EDITER
RIOT
RIOTED
QATAR
POSBOP
POSBXP
PXSBOP
White:
QATAR
EDIT
EDITER
FILE
BANANA
AGE
AGES
Black:
POSBOP
POSBXP
PXSBOP
RIOT
RIOTED
FREAK
FISH
TEAM
GATE
MAGE
MATE
PASBAP
BONONO
-- Simon
I'd like to guess the rule:
A koan is white if the letters alternate between consonants and vowels.
That sounds like a very good guess Namida. :)
Quote from: namida on May 16, 2016, 11:04:08 PM
I'd like to guess the rule:
A koan is white if the letters alternate between consonants and vowels.
Yep, you got it! Figured it'd be best to go with something simple for my first time coming up with a rule.
Alright... new round, then.
White: BANANA
Black: APPLE
BAN
BANDANA
BANANANANA
White Koans
BANANA BANANANANA
Black Koans
APPLE BAN BANDANA
From IRC:
Quote<Proxima> is the rule "a koan has the buddha nature if it has an even number of letters"
This is not the rule.
Counterexamples added:
White KoansBANANA BANANANANA PIRATES Black KoansAPPLE BAN BANDANA DRUG
BANANAS
PIRATE
RAT
RATE
RATES
White Koans
BANANA BANANAS PIRATES
BANANANANA PIRATE RATES
Black Koans
APPLE BANDANA RAT
BAN DRUG RATS
Pineapple
Orange
Melon
XOXOXOXO
OXOXOXOX
XOXOXOX
OXOXOXO
White Koans
BANANA MELON PIRATES XOXOXOXO
BANANANANA PINEAPPLE RATES
BANANAS PIRATE XOXOXOX
Black Koans
APPLE DRUG ORANGE
BAN OXOXOXO RAT
BANDANA OXOXOXOX RATS
BANANAB
NANANAN
NANANA
ANANAN
White Koans
BANANA MELON PIRATE XOXOXOXO
BANANAB NANANA PIRATES
BANANANANA NANANAN RATES
BANANAS PINEAPPLE XOXOXOX
Black Koans
ANANAN BANDANA OXOXOXO RATS
APPLE DRUG OXOXOXOX
BAN ORANGE RAT
From IRC, an incorrect guess:
Quote<Proxima> rule guess: a koan is white if there are at least 4 letters, and the 4th is a vowel
White KoansBANANA EARS PINEAPPLE XOXOXOX
BANANAB MELON PIRATE XOXOXOXO
BANANANANA NANANA PIRATES
BANANAS NANANAN RATES Black KoansANANAN BANDANA OXOXOXO RATS
APPLE DRUG OXOXOXOX STEAM
BAN ORANGE RAT
DANANA
BANA
BA
BAR
BARS
White KoansBANA BANANAS NANANA PIRATES
BANANA DANANA NANANAN RATES
BANANAB EARS PINEAPPLE XOXOXOX
BANANANANA MELON PIRATE XOXOXOXO Black KoansANANAN BANDANA ORANGE RATS
APPLE BAR OXOXOXO STEAM
BA BARS OXOXOXOX
BAN DRUG RAT Maybe it's time for a hint...
Spoiler
It is impossible to make a black koan by adding extra letters to the end of a white koan.
CAKE
FISH
CAT
BIRD
DOG
MOUSE
White Koans
BANA CAKE NANANAN XOXOXOX
BANANA DANANA PINEAPPLE XOXOXOXO
BANANAB EARS PIRATE
BANANANANA MELON PIRATES
BANANAS NANANA RATES
Black Koans
ANANAN BAR DRUG OXOXOXOX
APPLE BARS FISH RAT
BA BIRD MOUSE RATS
BAN CAT ORANGE STEAM
BANDANA DOG OXOXOXO
PI
PIN
PINE
ORAN
OPERA
CAR
White Koans
BANA CAKE NANANAN RATES
BANANA DANANA PINE XOXOXOX
BANANAB EARS PINEAPPLE XOXOXOXO
BANANANANA MELON PIRATE
BANANAS NANANA PIRATES
Black Koans
ANANAN BARS FISH OXOXOXOX
APPLE BIRD MOUSE PI
BA CAR OPERA PIN
BAN CAT ORAN RAT
BANDANA DOG ORANGE RATS
BAR DRUG OXOXOXO STEAM
BANB
BANN
BANO
CAK
EAR
White Koans
BANA BANO MELON PIRATE
BANANA CAKE NANANA PIRATES
BANANAB DANANA NANANAN RATES
BANANANANA EAR PINE XOXOXOX
BANANAS EARS PINEAPPLE XOXOXOXO
Black Koans
ANANAN BAR DRUG OXOXOXOX
APPLE BARS FISH PI
BA BIRD MOUSE PIN
BAN CAK OPERA RAT
BANB CAR ORAN RATS
BANDANA CAT ORANGE STEAM
BANN DOG OXOXOXO
I'm doing a bit of a "thinking post" here, and am putting down my thought process since there's a chance, albeit small, that my random thoughts might help someone figure it out.
Based on the hint,
Spoiler
It is impossible to make a black koan by adding extra letters to the end of a white koan.
I've made an abridged white koan list.
Because of this hint, knowing, for instance, that PINE is white means that PINEAPPLE gives no extra information, so my abridged list includes PINE but excludes PINEAPPLE.
I do not guarantee I didn't accidentally miss one.
Spoiler
BANA
BAND
CAKE
EARS
MELON
NANANA
PINE
PIRATE
RATES
The bolded koans will become black if their last letter is removed.
Also based on the hint, I can conclude that the following koans are black (this is probably not helpful information):
Spoiler
A
B
C
D
F
M
O
P
R
S
because, if any of them were white, any koan starting with them would have to also be white. Generalizing this list,
Spoiler
the first letter of any black koan is itself a black koan
Me rephrasing the hint in my own words in the hopes that it might help me think:
Spoiler
A white koan cannot under any circumstances become black by adding more letters, but a black koan can become white by adding letters.
Based on my abridged koan list, I will try to determine what the shortest form of each white koan is.
EA
MELO
MEL
ME
NANAN
NANA
NAN
NA
PIRAT
PIRA
PIR
RATE
White KoansBANA EA NANANAN RATE
BANANA EARS PINE RATES
BANANAB MELO PINEAPPLE XOXOXOX
BANANANANA MELON PIRA XOXOXOXO
BANANAS NANA PIRAT
CAKE NANAN PIRATE
DANANA NANANA PIRATES Black KoansANANAN CAR NA PIN
APPLE CAT NAN PIR
BA DOG OPERA RAT
BAN DRUG ORAN RATS
BANDANA FISH ORANGE STEAM
BAR ME OXOXOXO
BARS MEL OXOXOXOX
BIRD MOUSE PI EDIT: I notice that this list was missing the koans from the previous post. Here's a complete list, though it doesn't have anything bolded.
I have also included those which Dullstar concluded (correctly) would be black.
Spoiler
White Koans
BANA DANANA NANAN PIRATE
BANANA EA NANANA PIRATES
BANANAB EAR NANANAN RATE
BANANANANA EARS PINE RATES
BANANAS MELO PINEAPPLE XOXOXOX
BANO MELON PIRA XOXOXOXO
CAKE NANA PIRAT
Black Koans
A BIRD ME P
ANANAN C MEL PI
APPLE CAK MOUSE PIN
B CAR NA PIR
BA CAT NAN R
BAN D O RAT
BANB DOG OPERA RATS
BANDANA DRUG ORAN S
BANN F ORANGE STEAM
BAR FISH OXOXOXO
BARS M OXOXOXOX
Updated abridged white koan listing:
BANA
BANO
CAKE
EA
MELO
NANA
PINE
PIRA
RATE
I don't believe any of those can be shrunk down any further without becoming black koans.
Well, maybe EA, but I'd be surprised.
---
LEMMINGS
TRAIN
RESTAURANT
FACADE
E
White Koans
BANA DANANA NANA PIRAT
BANANA EA NANAN PIRATE
BANANAB EAR NANANA PIRATES
BANANANANA EARS NANANAN RATE
BANANAS FACADE PINE RATES
BANO MELO PINEAPPLE XOXOXOX
CAKE MELON PIRA XOXOXOXO
Black Koans
A C ME PI
ANANAN CAK MEL PIN
APPLE CAR MOUSE PIR
B CAT NA R
BA D NAN RAT
BAN DOG O RATS
BANB DRUG OPERA RESTAURANT
BANDANA E ORAN S
BANN F ORANGE STEAM
BAR FISH OXOXOXO TRAIN
BARS LEMMINGS OXOXOXOX
BIRD M P
My thoughts on the possible shape of the rule:
Spoiler
So far, it looks as if the rule depends only on vowels and consonants, i.e. there are no pairs with the same vowel-consonant structure and different Buddha-nature. This may be disproved by later additions. If it is correct, then all 1-letter koans are black.
The rule must be asymmetric as regards front and back of the koan, since adding to the end of white cannot produce black, but adding to the beginning of white can (example: XOXOXOX and OXOXOXOX).
The hint suggests the rule is positive, i.e. a koan is white if it includes some feature. If so, then this feature may manifest in a 2-letter koan (EA).
Vowels seem to be "preferred" -- EA is white, BANA is white but FISH black. This suggests something like "a koan is white if some substring starting from the front is at least half vowels", but this does not fit all examples so far (OXOXOXO is black).
QuoteIf it is correct, then all 1-letter koans are black.
They indeed are.
The rest is either thought process or an observation that can be deduced from the existing lists, so I won't say anything in regards to it. :)
Some more guesses, then.
BAA
BB
BBB
BBA
ABA
ABBA
White Koans
BANA DANANA NANA PIRAT
BANANA EA NANAN PIRATE
BANANAB EAR NANANA PIRATES
BANANANANA EARS NANANAN RATE
BANANAS FACADE PINE RATES
BANO MELO PINEAPPLE XOXOXOX
CAKE MELON PIRA XOXOXOXO
Black Koans
A BARS F OXOXOXO
ABA BB FISH OXOXOXOX
ABBA BBA LEMMINGS P
ANANAN BBB M PI
APPLE BIRD ME PIN
B C MEL PIR
BA CAK MOUSE R
BAA CAR NA RAT
BAN CAT NAN RATS
BANB D O RESTAURANT
BANDANA DOG OPERA S
BANN DRUG ORAN STEAM
BAR E ORANGE TRAIN
FACAD
FACA
FAC
FA
Something that I've noticed is that all of the shortest possible forms of white koans never have 2 consecutive consonants, but can have 2 consecutive vowels. However, with the fact that adding to the end of a koan cannot make it black, it would seem there must be some way of determining the cutoff. I'm not sure if I'm on to anything, or if my observation is a complete coincidence. There are also black koans lack 2 consecutive consonants. (e.g. OPERA)
Akhtbn iff one of these:
* it is exactly 2 letters long and they're both vowels,
* it is exactly 3 letters long and of form vovel-vovel-consonant,
* it is at least 4 letters long, begins with a consonant, and alternates between letters and consonants.
Blergh, PINEAPPLE is white, counterexample.
-- Simon
In case Simon's rule isn't correct, a correction to my abridged list and more koans:
BANA
BANO
CAKE
EA
FACADE
MELO
NANA
PINE
PIRA
RATE
XOXOXOX
(I accidentally left XOXOXOX off)
XOXOXO
XOXOX
XOXO
XOX
XO
White Koans
BANA EAR NANANA RATES
BANANA EARS NANANAN XOXO
BANANAB FACA PINE XOXOX
BANANANANA FACAD PINEAPPLE XOXOXO
BANANAS FACADE PIRA XOXOXOX
BANO MELO PIRAT XOXOXOXO
CAKE MELON PIRATE
DANANA NANA PIRATES
EA NANAN RATE
Black Koans
A BB FAC OXOXOXOX
ABA BBA FISH P
ABBA BBB LEMMINGS PI
ANANAN BIRD M PIN
APPLE C ME PIR
B CAK MEL R
BA CAR MOUSE RAT
BAA CAT NA RATS
BAN D NAN RESTAURANT
BANB DOG O S
BANDANA DRUG OPERA STEAM
BANN E ORAN TRAIN
BAR F ORANGE XO
BARS FA OXOXOXO XOX
Quote from: Simon on May 23, 2016, 06:58:38 PM
Akhtbn iff one of these:
* it is exactly 2 letters long and they're both vowels,
* it is exactly 3 letters long and of form vovel-vovel-consonant,
* it is at least 4 letters long, begins with a consonant, and alternates between letters and consonants.
Blergh, PINEAPPLE is white, counterexample.
-- Simon
I think, based on the hint that was given, that it would depend only on the first
n letters, so I think you MIGHT be on to something if you change it along those lines.
If the vowel-consonant theory is correct (and subsequent additions to the list have not yet contradicted it), it follows that we have a complete knowledge of 1, 2 and 3-letter koans:
1-letter: All black
2-letter: VV white, others black
3-letter: VVV, VVC white, others black
However, for 4 letters and beyond, a koan can be white without having two consecutive vowels.
I wouldn't say we have complete knowledge of 2 letter koans since we only have one 2 letter white koan. So might as well try to get more, right?
AA
AE
KA
KI
EE
II
OO
UU
If Proxima's theory for 2 letter koans is correct, I'd expect KI and KA to be black, all others white.
White Koans
AA EA NANA PIRATES
AE EAR NANAN RATE
BANA EARS NANANA RATES
BANANA EE NANANAN UU
BANANAB FACA OO XOXO
BANANANANA FACAD PINE XOXOX
BANANAS FACADE PINEAPPLE XOXOXO
BANO II PIRA XOXOXOX
CAKE MELO PIRAT XOXOXOXO
DANANA MELON PIRATE
Black Koans
A BBA KA P
ABA BBB KI PI
ABBA BIRD LEMMINGS PIN
ANANAN C M PIR
APPLE CAK ME R
B CAR MEL RAT
BA CAT MOUSE RATS
BAA D NA RESTAURANT
BAN DOG NAN S
BANB DRUG O STEAM
BANDANA E OPERA TRAIN
BANN F ORAN XO
BAR FA ORANGE XOX
BARS FAC OXOXOXO
BB FISH OXOXOXOX
I'll just mention - although breaking it down by lengths is one way it could be handled, it is possible to explain the rule without any reference to the koan's length, and certianly without any "if the koan is this long, this rule applies; if it's this long, this other rule applies; etc". :)
Testing 3 and 4 letters:
EAT
AAA
EEE
III
OOO
UUU
AEI
ICE
IEV
HARE
DARE
KATE
I think it will help, though, if we can at least consistently guess what will be white and what will be black.
Of my latest list, I'm expecting ICE to be black.
White Koans
AA EA KATE PIRATE
AAA EAR MELO PIRATES
AE EARS MELON RATE
AEI EAT NANA RATES
BANA EE NANAN UU
BANANA EEE NANANA UUU
BANANAB FACA NANANAN XOXO
BANANANANA FACAD OO XOXOX
BANANAS FACADE OOO XOXOXO
BANO HARE PINE XOXOXOX
CAKE IEV PINEAPPLE XOXOXOXO
DANANA II PIRA
DARE III PIRAT
Black Koans
A BBA ICE OXOXOXOX
ABA BBB KA P
ABBA BIRD KI PI
ANANAN C LEMMINGS PIN
APPLE CAK M PIR
B CAR ME R
BA CAT MEL RAT
BAA D MOUSE RATS
BAN DOG NA RESTAURANT
BANB DRUG NAN S
BANDANA E O STEAM
BANN F OPERA TRAIN
BAR FA ORAN XO
BARS FAC ORANGE XOX
BB FISH OXOXOXO
OOXX
OOXXX
OOXXXX
OOOX
OOOXX
OOOXXX
-- Simon
Quote from: Proxima on May 23, 2016, 07:02:58 PM
If the vowel-consonant theory is correct (and subsequent additions to the list have not yet contradicted it), it follows that we have a complete knowledge of 1, 2 and 3-letter koans:
1-letter: All black
2-letter: VV white, others black
3-letter: VVV, VVC white, others black
However, for 4 letters and beyond, a koan can be white without having two consecutive vowels.
It seems that for 4 letters, CVCV consistently works, but VCVC does not.
White Koans
AA EAR MELON PINEAPPLE
AAA EARS NANA PIRA
AE EAT NANAN PIRAT
AEI EE NANANA PIRATE
BANA EEE NANANAN PIRATES
BANANA FACA OO RATE
BANANAB FACAD OOO RATES
BANANANANA FACADE OOOX UU
BANANAS HARE OOOXX UUU
BANO IEV OOOXXX XOXO
CAKE II OOXX XOXOX
DANANA III OOXXX XOXOXO
DARE KATE OOXXXX XOXOXOX
EA MELO PINE XOXOXOXO
Black Koans
A BBA ICE OXOXOXOX
ABA BBB KA P
ABBA BIRD KI PI
ANANAN C LEMMINGS PIN
APPLE CAK M PIR
B CAR ME R
BA CAT MEL RAT
BAA D MOUSE RATS
BAN DOG NA RESTAURANT
BANB DRUG NAN S
BANDANA E O STEAM
BANN F OPERA TRAIN
BAR FA ORAN XO
BARS FAC ORANGE XOX
BB FISH OXOXOXO
Suppose the vowel-consonant theory is correct, then for 4 letters, we know:
VVxx is white (x = anything)
CVCV is white
CVCC is black
CVVC is black
CCVV is black
VCCC is black
VCCV is black
VCVC is black
CVVV, CCCC, CCCV, CCVC, VCVV are unknown.... so let's guess them!
Guesses:
BEAU
BCDF
BCDE
CLUB
EPEE
White Koans
AA EAR MELON PINEAPPLE
AAA EARS NANA PIRA
AE EAT NANAN PIRAT
AEI EE NANANA PIRATE
BANA EEE NANANAN PIRATES
BANANA FACA OO RATE
BANANAB FACAD OOO RATES
BANANANANA FACADE OOOX UU
BANANAS HARE OOOXX UUU
BANO IEV OOOXXX XOXO
CAKE II OOXX XOXOX
DANANA III OOXXX XOXOXO
DARE KATE OOXXXX XOXOXOX
EA MELO PINE XOXOXOXO
Black Koans
A BBB FA ORANGE
ABA BCDE FAC OXOXOXO
ABBA BCDF FISH OXOXOXOX
ANANAN BEAU ICE P
APPLE BIRD KA PI
B C KI PIN
BA CAK LEMMINGS PIR
BAA CAR M R
BAN CAT ME RAT
BANB CLUB MEL RATS
BANDANA D MOUSE RESTAURANT
BANN DOG NA S
BAR DRUG NAN STEAM
BARS E O TRAIN
BB EPEE OPERA XO
BBA F ORAN XOX
Terrible guess, but I'm going to go for it:
AKHTBN iff the first two letters are vowels
OR
the first letter is a consonant, and the first four letters follow the pattern consonant-vowel-consonant-vowel.
You're getting very close. It is impossible to provide a black koan that would fit within those rules.
However, I can provide a white koan that does NOT fit within those rules.
White Koans
AA EARS NANAN PIRATE
AAA EAT NANANA PIRATES
AE EE NANANAN RATE
AEI EEE OO RATES
BANA FACA OOO STRETCHER
BANANA FACAD OOOX UU
BANANAB FACADE OOOXX UUU
BANANANANA HARE OOOXXX XOXO
BANANAS IEV OOXX XOXOX
BANO II OOXXX XOXOXO
CAKE III OOXXXX XOXOXOX
DANANA KATE PINE XOXOXOXO
DARE MELO PINEAPPLE
EA MELON PIRA
EAR NANA PIRAT
Black Koans
A BBB FA ORANGE
ABA BCDE FAC OXOXOXO
ABBA BCDF FISH OXOXOXOX
ANANAN BEAU ICE P
APPLE BIRD KA PI
B C KI PIN
BA CAK LEMMINGS PIR
BAA CAR M R
BAN CAT ME RAT
BANB CLUB MEL RATS
BANDANA D MOUSE RESTAURANT
BANN DOG NA S
BAR DRUG NAN STEAM
BARS E O TRAIN
BB EPEE OPERA XO
BBA F ORAN XOX
Guess: a koan has the buddha-nature if it contains at least two vowels at positions that are powers of 2.
"RESTAURANT" has vowels at the 2nd and 8th letter (powers of 2) and is on the black koans list.
AKHTBN iff the koan is of shape (a)(a)(b), where (a) consists of 0 or more consonants followed by exactly one vovel. (b) may be empty string.
-- Simon
Quote from: Simon on May 23, 2016, 07:37:12 PM
AKHTBN iff the koan is of shape (a)(a)(b), where (a) consists of 0 or more consonants followed by exactly one vovel.
-- Simon
This definitely accounts for the fact that adding more letters can't make a white koan black.
While the way you worded that doesn't convey the rule exactly, I think what you meant to suggest is correct, so I think we'll accept this as a victory.
For reference, I had two ways in mind of wording it:
a. "AKHTBN if the number of letters before the first vowel is the same as the number of letters between the first and second vowel"
b. "AKHTBN if, in the first (N * 2) letters, the Nth and (N * 2)th letters, and no others, are vowels"
Not that it ever came up, but I was not considering "Y" a vowel for this one.
Awesome.
What other interpretation of my guess do you deem plausible?
I would like to pass hosting to Dullstar. He did an easy round, which was excellent but didn't last long, and Dullstar should be entitled to go again.
Edit 2016-05-25:
[09:52] <SimonN> namida42: re: last zendo round: what other interpretation of "(a)(a)(b) with (a) == (0 or more consonants)(1 vovel)" is possible?
[09:53] <namida42> my first interpretation of it is that the (a)s must be the same string; but they only have to be the same length to fulfill the actual rule
[09:53] <SimonN> smart, and 100 % correct
[09:54] <SimonN> maybe you should have busted the guess >_> not sure. Reasonable decision to let it pass
[09:54] <namida42> so, XYAZZA is fine; if i took your statement literally, it would ahve to be eg. XYAXYA
[09:54] <SimonN> yes, and the first is counterexample to the guess
[09:54] <namida42> but i figured that you meant just hte lenght, since there would be too many counterexamples against the first interpretation
-- Simon
White: PINEAPPLE
Black: LOOPING
PINE
APPLE
LOOP
BANANA
White Koans
PINEAPPLE
Black Koans
APPLE LOOP PINE
BANANA LOOPING
EDIT: Formatting
BARBER
NANA
NANNA
White Koans
PINEAPPLE
Black Koans
APPLE BARBER LOOPING NANNA
BANANA LOOP NANA PINE
Guess: A koan has the Buddha-nature if it is the string PINEAPPLE.
I like that one Proxima. :thumbsup:
(Lets take a guess at the rule)
A koan has the buddha nature if it has four or more vowels.
In case that wasn't the rule,
APPLEPINE
ELPPAENIP
PINEAPPL
INEAPPLE
Neither rule guess was correct.
Counterexample for each:
"AKHTBN iff it is the string PINEAPPLE" - GREAT is white.
"AKHTBN iff it has four or more vowels" - QUEUING is black.
White Koans
ELPPAENIP GREAT PINEAPPLE
Black Koans
APPLE BARBER LOOPING PINE
APPLEPINE INEAPPLE NANA PINEAPPL
BANANA LOOP NANNA QUEUING
PINEAPPLES
IEAE
EA
EAEI
PNPPL
LPPNP
GRT
TRG
MANGO
PEACH
PEAR
PLUM
CHERRY
White Koans
ELPPAENIP GREAT PEACH PINEAPPLE
Black Koans
APPLE EAEI LPPNP PINEAPPL
APPLEPINE GRT MANGO PINEAPPLES
BANANA IEAE NANA PLUM
BARBER INEAPPLE NANNA PNPPL
CHERRY LOOP PEAR QUEUING
EA LOOPING PINE TRG
GREATWITHSTUFF
GREA
REAT
EAT
EAP
PEA
-- Simon
White KoansELPPAENIP GREAT PEACH PINEAPPLE Black KoansAPPLE EAT LPPNP PINEAPPLES
APPLEPINE GREA MANGO PLUM
BANANA GREATWITHSTUFF NANA PNPPL
BARBER GRT NANNA QUEUING
CHERRY IEAE PEA REAT
EA INEAPPLE PEAR TRG
EAEI LOOP PINE
EAP LOOPING PINEAPPL Small hint to help focus koan selection:
Spoiler
There is a minimum length for white koans.
TAERG
HCAEP
ABCDE
AEIOU
BCDFG
AAAAA
PINEAPPLEE
PINEAPPEE
PINEAPPLEA
PCEAH
GEART
White Koans
ELPPAENIP HCAEP PINEAPPEE
GEART PCEAH PINEAPPLE
GREAT PEACH TAERG
Black Koans
AAAAA EA LOOP PINEAPPL
ABCDE EAEI LOOPING PINEAPPLEA
AEIOU EAP LPPNP PINEAPPLEE
APPLE EAT MANGO PINEAPPLES
APPLEPINE GREA NANA PLUM
BANANA GREATWITHSTUFF NANNA PNPPL
BARBER GRT PEA QUEUING
BCDFG IEAE PEAR REAT
CHERRY INEAPPLE PINE TRG
Lemming
Tribe
Namida
Tango
White Koans
ELPPAENIP HCAEP PINEAPPEE
GEART PCEAH PINEAPPLE
GREAT PEACH TAERG
Black Koans
AAAAA EAEI LOOPING PINEAPPLEA
ABCDE EAP LPPNP PINEAPPLEE
AEIOU EAT MANGO PINEAPPLES
APPLE GREA NAMIDA PLUM
APPLEPINE GREATWITHSTUFF NANA PNPPL
BANANA GRT NANNA QUEUING
BARBER IEAE PEA REAT
BCDFG INEAPPLE PEAR TANGO
CHERRY LEMMING PINE TRG
EA LOOP PINEAPPL TRIBE
BEACH
REACH
NINEAPPLE
PINEBANANA
White KoansBEACH GREAT PCEAH PINEAPPLE
ELPPAENIP HCAEP PEACH REACH
GEART NINEAPPLE PINEAPPEE TAERG Black KoansAAAAA EAP MANGO PINEBANANA
ABCDE EAT NAMIDA PLUM
AEIOU GREA NANA PNPPL
APPLE GREATWITHSTUFF NANNA QUEUING
APPLEPINE GRT PEA REAT
BANANA IEAE PEAR TANGO
BARBER INEAPPLE PINE TRG
BCDFG LEMMING PINEAPPL TRIBE
CHERRY LOOP PINEAPPLEA
EA LOOPING PINEAPPLEE
EAEI LPPNP PINEAPPLES Hint:
Spoiler
Adding exactly one letter to any given white koan will always result in a black koan. Adding a single letter to a black koan could possibly, but won't necessarily, make it white.
LEACH
IEACH
PEACE
White KoansBEACH HCAEP PCEAH PINEAPPLE
ELPPAENIP IEACH PEACE REACH
GEART LEACH PEACH TAERG
GREAT NINEAPPLE PINEAPPEE Black KoansAAAAA EAP MANGO PINEBANANA
ABCDE EAT NAMIDA PLUM
AEIOU GREA NANA PNPPL
APPLE GREATWITHSTUFF NANNA QUEUING
APPLEPINE GRT PEA REAT
BANANA IEAE PEAR TANGO
BARBER INEAPPLE PINE TRG
BCDFG LEMMING PINEAPPL TRIBE
CHERRY LOOP PINEAPPLEA
EA LOOPING PINEAPPLEE
EAEI LPPNP PINEAPPLES Reprinting the hint from my previous post since another post was made while I was editing the previous post:
Spoiler
Adding exactly one letter to any given white koan will always result in a black koan. Adding a single letter to a black koan could possibly, but won't necessarily, make it white.
The only useful thing I'm noticing so far is that all the white koans have an odd length. One theory I had was "If the middle letter is a vowel", and perhaps "If the middle letter is a unique vowel"; but QUEUING is a counterexample for the first, and TRIBE is a counterexample for both.
XXAXX
XAAAX
PPAPP
PPEPP
AAXAA
White Koans
AAXAA GREAT NINEAPPLE PINEAPPEE
BEACH HCAEP PCEAH PINEAPPLE
ELPPAENIP IEACH PEACE REACH
GEART LEACH PEACH TAERG
Black Koans
AAAAA EAT NANA PPAPP
ABCDE GREA NANNA PPEPP
AEIOU GREATWITHSTUFF PEA QUEUING
APPLE GRT PEAR REAT
APPLEPINE IEAE PINE TANGO
BANANA INEAPPLE PINEAPPL TRG
BARBER LEMMING PINEAPPLEA TRIBE
BCDFG LOOP PINEAPPLEE XAAAX
CHERRY LOOPING PINEAPPLES XXAXX
EA LPPNP PINEBANANA
EAEI MANGO PLUM
EAP NAMIDA PNPPL
AAPAA
AXXXA
White Koans
AAPAA GREAT PCEAH REACH
AAXAA HCAEP PEACE TAERG
BEACH IEACH PEACH
ELPPAENIP LEACH PINEAPPEE
GEART NINEAPPLE PINEAPPLE
Black Koans
AAAAA EAP NAMIDA PNPPL
ABCDE EAT NANA PPAPP
AEIOU GREA NANNA PPEPP
APPLE GREATWITHSTUFF PEA QUEUING
APPLEPINE GRT PEAR REAT
AXXXA IEAE PINE TANGO
BANANA INEAPPLE PINEAPPL TRG
BARBER LEMMING PINEAPPLEA TRIBE
BCDFG LOOP PINEAPPLEE XAAAX
CHERRY LOOPING PINEAPPLES XXAXX
EA LPPNP PINEBANANA
EAEI MANGO PLUM
PECAH
EPCHA
PIN
PEN
APE
Can I request that you refrain from giving hints unless the game shows signs of slowing down or one player explicitly asks for one?
Seeing all the koans, I think I know the clue.
AKHTBN (The koan is white) if the vowel's alphabetic position equals the length of the word.
QuoteAKHTBN (The koan is white) if the vowel's alphabetic position equals the length of the word.
The very first koan on the white list invalidates that rule. A is the 1st letter of the alphabet, and AAPAA is 5 letters long. Unless I'm misunderstanding you.
Also, which vowel if there's more than one different one?
Quote from: namida on May 25, 2016, 02:07:03 PM
QuoteAKHTBN (The koan is white) if the vowel's alphabetic position equals the length of the word.
The very first koan on the white list invalidates that rule. A is the 1st letter of the alphabet, and AAPAA is 5 letters long. Unless I'm misunderstanding you.
Oops, you're right. :(
AEIOUXXXXYYYY
AEIOUXXXXYYYYZZZZ
PONEAPPLE
PANEAPPLE
GREAG
-- Simon
White Koans
AAPAA GREAT PCEAH PONEAPPLE
AAXAA HCAEP PEACE REACH
BEACH IEACH PEACH TAERG
ELPPAENIP LEACH PECAH
GEART NINEAPPLE PINEAPPEE
GREAG PANEAPPLE PINEAPPLE
Black Koans
AAAAA EA LPPNP PINEAPPLES
ABCDE EAEI MANGO PINEBANANA
AEIOU EAP NAMIDA PLUM
AEIOUXXXXYYYY EAT NANA PNPPL
AEIOUXXXXYYYYZZZZ EPCHA NANNA PPAPP
APE GREA PEA PPEPP
APPLE GREATWITHSTUFF PEAR QUEUING
APPLEPINE GRT PEN REAT
AXXXA IEAE PIN TANGO
BANANA INEAPPLE PINE TRG
BARBER LEMMING PINEAPPL TRIBE
BCDFG LOOP PINEAPPLEA XAAAX
CHERRY LOOPING PINEAPPLEE XXAXX
GGGAA
GGGAE
A
PPPPPAAAA
That koan tool produces excessive whitespace. There should never be whitespace at end of line. :lix-cry:
-- Simon
White Koans
AAPAA GREAT PCEAH PONEAPPLE
AAXAA HCAEP PEACE REACH
BEACH IEACH PEACH TAERG
ELPPAENIP LEACH PECAH
GEART NINEAPPLE PINEAPPEE
GREAG PANEAPPLE PINEAPPLE
Black Koans
A EA LOOPING PINEAPPLES
AAAAA EAEI LPPNP PINEBANANA
ABCDE EAP MANGO PLUM
AEIOU EAT NAMIDA PNPPL
AEIOUXXXXYYYY EPCHA NANA PPAPP
AEIOUXXXXYYYYZZZZ GGGAA NANNA PPEPP
APE GGGAE PEA PPPPPAAAA
APPLE GREA PEAR QUEUING
APPLEPINE GREATWITHSTUFF PEN REAT
AXXXA GRT PIN TANGO
BANANA IEAE PINE TRG
BARBER INEAPPLE PINEAPPL TRIBE
BCDFG LEMMING PINEAPPLEA XAAAX
CHERRY LOOP PINEAPPLEE XXAXX
POMEGRANATE
POSTMODERNISM
LEMMINGOLOGICAL
HACEP
ACEHP
Cheaps
Pizzas
Cash
Lemon
White Koans
AAPAA GREAT NINEAPPLE PINEAPPEE
AAXAA HACEP PANEAPPLE PINEAPPLE
BEACH HCAEP PCEAH PONEAPPLE
ELPPAENIP IEACH PEACE POSTMODERNISM
GEART LEACH PEACH REACH
GREAG LEMON PECAH TAERG
Black Koans
A CHERRY LOOPING PIZZAS
AAAAA EA LPPNP PLUM
ABCDE EAEI MANGO PNPPL
ACEHP EAP NAMIDA POMEGRANATE
AEIOU EAT NANA PPAPP
AEIOUXXXXYYYY EPCHA NANNA PPEPP
AEIOUXXXXYYYYZZZZ GGGAA PEA PPPPPAAAA
APE GGGAE PEAR QUEUING
APPLE GREA PEN REAT
APPLEPINE GREATWITHSTUFF PIN TANGO
AXXXA GRT PINE TRG
BANANA IEAE PINEAPPL TRIBE
BARBER INEAPPLE PINEAPPLEA XAAAX
BCDFG LEMMING PINEAPPLEE XXAXX
CASH LEMMINGOLOGICAL PINEAPPLES
CHEAPS LOOP PINEBANANA
BACEIDFGO
BACEIBBDE
White Koans
AAPAA GREAG NINEAPPLE PINEAPPLE
AAXAA GREAT PANEAPPLE PONEAPPLE
BACEIBBDE HACEP PCEAH POSTMODERNISM
BACEIDFGO HCAEP PEACE REACH
BEACH IEACH PEACH TAERG
ELPPAENIP LEACH PECAH
GEART LEMON PINEAPPEE
Black Koans
A CHERRY LOOPING PIZZAS
AAAAA EA LPPNP PLUM
ABCDE EAEI MANGO PNPPL
ACEHP EAP NAMIDA POMEGRANATE
AEIOU EAT NANA PPAPP
AEIOUXXXXYYYY EPCHA NANNA PPEPP
AEIOUXXXXYYYYZZZZ GGGAA PEA PPPPPAAAA
APE GGGAE PEAR QUEUING
APPLE GREA PEN REAT
APPLEPINE GREATWITHSTUFF PIN TANGO
AXXXA GRT PINE TRG
BANANA IEAE PINEAPPL TRIBE
BARBER INEAPPLE PINEAPPLEA XAAAX
BCDFG LEMMING PINEAPPLEE XXAXX
CASH LEMMINGOLOGICAL PINEAPPLES
CHEAPS LOOP PINEBANANA
PPLEAPINE
ATEGR
ONMLE
Spoiler
While I have no idea about the whole rule, I think I've picked up on one thing that may be significant. If my theory is right, these should all be white.
accommodationists
anthropogenically
Codes
AEACH
AAACH
AAAAH
PIZZA
CHIPS
Cool you went for pizza as well Proxima but without the s
White Koans
AAACH CODES LEACH PINEAPPEE
AAPAA ELPPAENIP LEMON PINEAPPLE
AAXAA GEART NINEAPPLE PONEAPPLE
AEACH GREAG PANEAPPLE POSTMODERNISM
ANTHROPOGENICALLY GREAT PCEAH PPLEAPINE
BACEIBBDE HACEP PEACE REACH
BACEIDFGO HCAEP PEACH TAERG
BEACH IEACH PECAH
Black Koans
A CASH LEMMINGOLOGICAL PINEAPPLES
AAAAA CHEAPS LOOP PINEBANANA
AAAAH CHERRY LOOPING PIZZA
ABCDE CHIPS LPPNP PIZZAS
ACCOMMODATIONISTS EA MANGO PLUM
ACEHP EAEI NAMIDA PNPPL
AEIOU EAP NANA POMEGRANATE
AEIOUXXXXYYYY EAT NANNA PPAPP
AEIOUXXXXYYYYZZZZ EPCHA ONMLE PPEPP
APE GGGAA PEA PPPPPAAAA
APPLE GGGAE PEAR QUEUING
APPLEPINE GREA PEN REAT
ATEGR GREATWITHSTUFF PIN TANGO
AXXXA GRT PINE TRG
BANANA IEAE PINEAPPL TRIBE
BARBER INEAPPLE PINEAPPLEA XAAAX
BCDFG LEMMING PINEAPPLEE XXAXX
(I thought those two big words I posted would of been white. oops)
Well, one of them was. Which helps confirm a partial pattern: so far, all white koans have length 4n + 1 (5, 9, 13, 17). I'm not sure where that gets us, though.
AECAH
AACAH
XXXXX
CHEAP
EEEEE
PPPPP
You are right Proxima, I was looking at something called the Hilbert number sequence which goes like (5, 9, 13, 17).
White Koans
AAACH BEACH IEACH PINEAPPEE
AACAH CHEAP LEACH PINEAPPLE
AAPAA CODES LEMON PONEAPPLE
AAXAA ELPPAENIP NINEAPPLE POSTMODERNISM
AEACH GEART PANEAPPLE PPLEAPINE
AECAH GREAG PCEAH REACH
ANTHROPOGENICALLY GREAT PEACE TAERG
BACEIBBDE HACEP PEACH
BACEIDFGO HCAEP PECAH
Black Koans
A CHEAPS LOOP PIZZA
AAAAA CHERRY LOOPING PIZZAS
AAAAH CHIPS LPPNP PLUM
ABCDE EA MANGO PNPPL
ACCOMMODATIONISTS EAEI NAMIDA POMEGRANATE
ACEHP EAP NANA PPAPP
AEIOU EAT NANNA PPEPP
AEIOUXXXXYYYY EEEEE ONMLE PPPPP
AEIOUXXXXYYYYZZZZ EPCHA PEA PPPPPAAAA
APE GGGAA PEAR QUEUING
APPLE GGGAE PEN REAT
APPLEPINE GREA PIN TANGO
ATEGR GREATWITHSTUFF PINE TRG
AXXXA GRT PINEAPPL TRIBE
BANANA IEAE PINEAPPLEA XAAAX
BARBER INEAPPLE PINEAPPLEE XXAXX
BCDFG LEMMING PINEAPPLES XXXXX
CASH LEMMINGOLOGICAL PINEBANANA
OK then. considering all the clues I think I've got the answer. Here's my second guess.
AKHTBN if any letter part of the word HILBERT is contained in a word of 1, 5, 9, 13... (i.e. a Hilbert number) letters long.
That can't be it, because AAXAA is white and AAAAH is black. Also, there are some examples of anagrams having differing status.
AEAAH
ELPPA
EPCAH
IIIII
HHHHH
AAAAXAAAA
XAXAX
OOXOO
AOXOA
AOXAO
qqqqq
mmmmm
ooooo
As has been pointed out, there's a counterexample for "containing any letter contained in HILBERT" but there is not a counterexample for the length being a Hilbert number (incidentally I just learned what those are today, since I decided to look it up), so I figured I'll provide one: ADENINE (length 7) is white.
A hint about the length of koans is available upon request.
White Koans
AAAAXAAAA AOXOA HACEP PEACH
AAACH BACEIBBDE HCAEP PECAH
AACAH BACEIDFGO IEACH PINEAPPEE
AAPAA BEACH LEACH PINEAPPLE
AAXAA CHEAP LEMON PONEAPPLE
ADENINE CODES NINEAPPLE POSTMODERNISM
AEACH ELPPAENIP OOXOO PPLEAPINE
AECAH GEART PANEAPPLE REACH
ANTHROPOGENICALLY GREAG PCEAH TAERG
AOXAO GREAT PEACE XAXAX
Black Koans
A CHERRY LEMMINGOLOGICAL PINEBANANA
AAAAA CHIPS LOOP PIZZA
AAAAH EA LOOPING PIZZAS
ABCDE EAEI LPPNP PLUM
ACCOMMODATIONISTS EAP MANGO PNPPL
ACEHP EAT MMMMM POMEGRANATE
AEAAH EEEEE NAMIDA PPAPP
AEIOU ELPPA NANA PPEPP
AEIOUXXXXYYYY EPCAH NANNA PPPPP
AEIOUXXXXYYYYZZZZ EPCHA ONMLE PPPPPAAAA
APE GGGAA OOOOO QQQQQ
APPLE GGGAE PEA QUEUING
APPLEPINE GREA PEAR REAT
ATEGR GREATWITHSTUFF PEN TANGO
AXXXA GRT PIN TRG
BANANA HHHHH PINE TRIBE
BARBER IEAE PINEAPPL XAAAX
BCDFG IIIII PINEAPPLEA XXAXX
CASH INEAPPLE PINEAPPLEE XXXXX
CHEAPS LEMMING PINEAPPLES
As mentioned earlier, I don't think it's possible for an even-length koan to be white. This does fit with the earlier hints about how adding a single letter to a white koan will always make a black one; but adding a single letter to a black koan could make a white one. However, Dullstar did also mention there's a minimum length - so far, the shortest we have found is five letters long. I would assume the hint doesn't intend to merely rule out the empty koan, but would at least suggest that no single-letter koan can be white. We don't have any three-letter koans that are white yet, but I wouldn't be prepared to rule them out at this stage.
At a glance (there might be something I missed) it also appears that if a koan is white, the same koan in reverse is also white. This leads me to believe it has something to do with symmetry in some way.
I'd also believe it's something to do with the vowel / consonant structure. In particular, look at "BACEIBBDE" and "BACEIDFGO". These both follow the same consonant / vowel structure as PINEAPPLE, just with different letters - the former takes into account repetition (ie: "P" is always replaced with "B"), while the latter does not (ie: every consonant is replaced with another, unique consonant; and every vowel with another, unique vowel).
However, unless it's nothing to do with vowels and consonants directly, and simply a matter of specific letters with the vowels just happening to fall into the pattern correctly (or perhaps that it doesn't have to match 100%), there are counterexamples to it being this simple - "AACAH" comes to mind. (I chose to use this as the example and not "AAACH", in case it's relative (ie: VV can match CC, but eg. CCV couldn't match CVC).)
Let's try something.
PINEBPPLE
PINEEPPLE
PINEXPPLE
PINEOPPLE
PINEYPPLE
White KoansAAAAXAAAA BACEIBBDE IEACH PINEAPPLE
AAACH BACEIDFGO LEACH PINEEPPLE
AACAH BEACH LEMON PINEOPPLE
AAPAA CHEAP NINEAPPLE PONEAPPLE
AAXAA CODES OOXOO POSTMODERNISM
ADENINE ELPPAENIP PANEAPPLE PPLEAPINE
AEACH GEART PCEAH REACH
AECAH GREAG PEACE TAERG
ANTHROPOGENICALLY GREAT PEACH XAXAX
AOXAO HACEP PECAH
AOXOA HCAEP PINEAPPEE Black KoansA CHIPS LOOPING PINEYPPLE
AAAAA EA LPPNP PIZZA
AAAAH EAEI MANGO PIZZAS
ABCDE EAP MMMMM PLUM
ACCOMMODATIONISTS EAT NAMIDA PNPPL
ACEHP EEEEE NANA POMEGRANATE
AEAAH ELPPA NANNA PPAPP
AEIOU EPCAH ONMLE PPEPP
AEIOUXXXXYYYY EPCHA OOOOO PPPPP
AEIOUXXXXYYYYZZZZ GGGAA PEA PPPPPAAAA
APE GGGAE PEAR QQQQQ
APPLE GREA PEN QUEUING
APPLEPINE GREATWITHSTUFF PIN REAT
ATEGR GRT PINE TANGO
AXXXA HHHHH PINEAPPL TRG
BANANA IEAE PINEAPPLEA TRIBE
BARBER IIIII PINEAPPLEE XAAAX
BCDFG INEAPPLE PINEAPPLES XXAXX
CASH LEMMING PINEBANANA XXXXX
CHEAPS LEMMINGOLOGICAL PINEBPPLE
CHERRY LOOP PINEXPPLE Here's some information about the koan "PINEYPPLE" that is only to prevent any misunderstandings and not intended as a hint:
As you may recall, the rule last time I hosted was the fairly quickly identified "AKHTBN iff it alternates between vowels and consonants, e.g. BANANA."
This rule did have one minor gray area that never came up: how to handle the letter Y. I believe the round immediately prior to this rule also had an affected rule.
While PINEYPPLE would definitely be black under my previous rule, for the purposes of consistency, I would have evaluated the letter Y as a consonant regardless of the use. That will remain true in any rounds I host in which the vowel/consonant structure matters. Unfortunately, I cannot tell you whether or not this rule would be affected by the vowel/consonant status of Y, as that would be too big of a hint.
Also, I'm just going to go ahead and give the hint about koan length, since I feel it may be unreasonable to identify due to that specific portion being overly arbitrary:
Spoiler
I've actually arbitrarily defined the minimum koan length in the rule, since I felt that, while shorter koans could potentially uphold the letter of the rule, they violated its spirit; so a provision was added explicitly excluding them. At least one koan has been guessed that would have been white if it were not for this provision. There would still be a minimum length without this provision, but it would be shorter.
There's a second reason I did this as well, but I won't reveal it until after the rule is identified.
AAAAAAAAA (nine)
BBBBBBBBB (nine)
AAACA
CCCAC
CCCCA
AXA
AAAXAAA
AXAXAXA
AAXAXAXAA
AXAAXAAXA
AAXAXAAXA
AAAXXXAAA
White Koans
AAAAXAAAA ANTHROPOGENICALLY GREAG PEACH
AAACA AOXAO GREAT PECAH
AAACH AOXOA HACEP PINEAPPEE
AAAXAAA AXAAXAAXA HCAEP PINEAPPLE
AACAH AXAXAXA IEACH PINEEPPLE
AAPAA BACEIBBDE LEACH PINEOPPLE
AAXAA BACEIDFGO LEMON PONEAPPLE
AAXAXAAXA BEACH NINEAPPLE POSTMODERNISM
AAXAXAXAA CHEAP OOXOO PPLEAPINE
ADENINE CODES PANEAPPLE REACH
AEACH ELPPAENIP PCEAH TAERG
AECAH GEART PEACE XAXAX
Black Koans
A CASH INEAPPLE PINEBANANA
AAAAA CCCAC LEMMING PINEBPPLE
AAAAAAAAA CCCCA LEMMINGOLOGICAL PINEXPPLE
AAAAH CHEAPS LOOP PINEYPPLE
AAAXXXAAA CHERRY LOOPING PIZZA
ABCDE CHIPS LPPNP PIZZAS
ACCOMMODATIONISTS EA MANGO PLUM
ACEHP EAEI MMMMM PNPPL
AEAAH EAP NAMIDA POMEGRANATE
AEIOU EAT NANA PPAPP
AEIOUXXXXYYYY EEEEE NANNA PPEPP
AEIOUXXXXYYYYZZZZ ELPPA ONMLE PPPPP
APE EPCAH OOOOO PPPPPAAAA
APPLE EPCHA PEA QQQQQ
APPLEPINE GGGAA PEAR QUEUING
ATEGR GGGAE PEN REAT
AXA GREA PIN TANGO
AXXXA GREATWITHSTUFF PINE TRG
BANANA GRT PINEAPPL TRIBE
BARBER HHHHH PINEAPPLEA XAAAX
BBBBBBBBB IEAE PINEAPPLEE XXAXX
BCDFG IIIII PINEAPPLES XXXXX
(Maybe we might be best looking at the earlier koan list when there was only one or two white koans)
WinterBanana
Computers
White Koans
AAAAXAAAA ANTHROPOGENICALLY GREAG PEACH
AAACA AOXAO GREAT PECAH
AAACH AOXOA HACEP PINEAPPEE
AAAXAAA AXAAXAAXA HCAEP PINEAPPLE
AACAH AXAXAXA IEACH PINEEPPLE
AAPAA BACEIBBDE LEACH PINEOPPLE
AAXAA BACEIDFGO LEMON PONEAPPLE
AAXAXAAXA BEACH NINEAPPLE POSTMODERNISM
AAXAXAXAA CHEAP OOXOO PPLEAPINE
ADENINE CODES PANEAPPLE REACH
AEACH ELPPAENIP PCEAH TAERG
AECAH GEART PEACE XAXAX
Black Koans
A CCCAC LEMMING PINEXPPLE
AAAAA CCCCA LEMMINGOLOGICAL PINEYPPLE
AAAAAAAAA CHEAPS LOOP PIZZA
AAAAH CHERRY LOOPING PIZZAS
AAAXXXAAA CHIPS LPPNP PLUM
ABCDE COMPUTERS MANGO PNPPL
ACCOMMODATIONISTS EA MMMMM POMEGRANATE
ACEHP EAEI NAMIDA PPAPP
AEAAH EAP NANA PPEPP
AEIOU EAT NANNA PPPPP
AEIOUXXXXYYYY EEEEE ONMLE PPPPPAAAA
AEIOUXXXXYYYYZZZZ ELPPA OOOOO QQQQQ
APE EPCAH PEA QUEUING
APPLE EPCHA PEAR REAT
APPLEPINE GGGAA PEN TANGO
ATEGR GGGAE PIN TRG
AXA GREA PINE TRIBE
AXXXA GREATWITHSTUFF PINEAPPL WINTERBANANA
BANANA GRT PINEAPPLEA XAAAX
BARBER HHHHH PINEAPPLEE XXAXX
BBBBBBBBB IEAE PINEAPPLES XXXXX
BCDFG IIIII PINEBANANA
CASH INEAPPLE PINEBPPLE
Killerapple
Forum
Design
Kebab
White Koans
AAAAXAAAA AOXAO GREAT PEACH
AAACA AOXOA HACEP PECAH
AAACH AXAAXAAXA HCAEP PINEAPPEE
AAAXAAA AXAXAXA IEACH PINEAPPLE
AACAH BACEIBBDE KEBAB PINEEPPLE
AAPAA BACEIDFGO KILLERAPPLE PINEOPPLE
AAXAA BEACH LEACH PONEAPPLE
AAXAXAAXA CHEAP LEMON POSTMODERNISM
AAXAXAXAA CODES NINEAPPLE PPLEAPINE
ADENINE ELPPAENIP OOXOO REACH
AEACH FORUM PANEAPPLE TAERG
AECAH GEART PCEAH XAXAX
ANTHROPOGENICALLY GREAG PEACE
Black Koans
A CCCAC INEAPPLE PINEBPPLE
AAAAA CCCCA LEMMING PINEXPPLE
AAAAAAAAA CHEAPS LEMMINGOLOGICAL PINEYPPLE
AAAAH CHERRY LOOP PIZZA
AAAXXXAAA CHIPS LOOPING PIZZAS
ABCDE COMPUTERS LPPNP PLUM
ACCOMMODATIONISTS DESIGN MANGO PNPPL
ACEHP EA MMMMM POMEGRANATE
AEAAH EAEI NAMIDA PPAPP
AEIOU EAP NANA PPEPP
AEIOUXXXXYYYY EAT NANNA PPPPP
AEIOUXXXXYYYYZZZZ EEEEE ONMLE PPPPPAAAA
APE ELPPA OOOOO QQQQQ
APPLE EPCAH PEA QUEUING
APPLEPINE EPCHA PEAR REAT
ATEGR GGGAA PEN TANGO
AXA GGGAE PIN TRG
AXXXA GREA PINE TRIBE
BANANA GREATWITHSTUFF PINEAPPL WINTERBANANA
BARBER GRT PINEAPPLEA XAAAX
BBBBBBBBB HHHHH PINEAPPLEE XXAXX
BCDFG IEAE PINEAPPLES XXXXX
CASH IIIII PINEBANANA
Hexakosioihexekontahexaphobiacs
White Koans
AAAAXAAAA AOXAO GREAT PEACH
AAACA AOXOA HACEP PECAH
AAACH AXAAXAAXA HCAEP PINEAPPEE
AAAXAAA AXAXAXA IEACH PINEAPPLE
AACAH BACEIBBDE KEBAB PINEEPPLE
AAPAA BACEIDFGO KILLERAPPLE PINEOPPLE
AAXAA BEACH LEACH PONEAPPLE
AAXAXAAXA CHEAP LEMON POSTMODERNISM
AAXAXAXAA CODES NINEAPPLE PPLEAPINE
ADENINE ELPPAENIP OOXOO REACH
AEACH FORUM PANEAPPLE TAERG
AECAH GEART PCEAH XAXAX
ANTHROPOGENICALLY GREAG PEACE
Black Koans
A CCCAC IIIII PINEBANANA
AAAAA CCCCA INEAPPLE PINEBPPLE
AAAAAAAAA CHEAPS LEMMING PINEXPPLE
AAAAH CHERRY LEMMINGOLOGICAL PINEYPPLE
AAAXXXAAA CHIPS LOOP PIZZA
ABCDE COMPUTERS LOOPING PIZZAS
ACCOMMODATIONISTS DESIGN LPPNP PLUM
ACEHP EA MANGO PNPPL
AEAAH EAEI MMMMM POMEGRANATE
AEIOU EAP NAMIDA PPAPP
AEIOUXXXXYYYY EAT NANA PPEPP
AEIOUXXXXYYYYZZZZ EEEEE NANNA PPPPP
APE ELPPA ONMLE PPPPPAAAA
APPLE EPCAH OOOOO QQQQQ
APPLEPINE EPCHA PEA QUEUING
ATEGR GGGAA PEAR REAT
AXA GGGAE PEN TANGO
AXXXA GREA PIN TRG
BANANA GREATWITHSTUFF PINE TRIBE
BARBER GRT PINEAPPL WINTERBANANA
BBBBBBBBB HEXAKOSIOIHEXEKONTAHEXAPHOBIACS PINEAPPLEA XAAAX
BCDFG HHHHH PINEAPPLEE XXAXX
CASH IEAE PINEAPPLES XXXXX
Ugh. The list is impossible to read now, and in any case I've run out of ideas. Now this is the time when it's appropriate to give us some helpful hints.
Something must of happened to that list, as it looks like it has crashed. lol
Hint:
Spoiler
Only three letters in the koan determine whether it is white or black. The rest don't matter as long as 1) the total number of letters is odd and 2) the koan is a minimum of five letters.
Here is an abridged koan list removing the black koans which meet neither of the criteria given in the hint. The extremely long black koan has also been removed for readability.
White KoansAAAAXAAAA AOXAO GREAT PEACH
AAACA AOXOA HACEP PECAH
AAACH AXAAXAAXA HCAEP PINEAPPEE
AAAXAAA AXAXAXA IEACH PINEAPPLE
AACAH BACEIBBDE KEBAB PINEEPPLE
AAPAA BACEIDFGO KILLERAPPLE PINEOPPLE
AAXAA BEACH LEACH PONEAPPLE
AAXAXAAXA CHEAP LEMON POSTMODERNISM
AAXAXAXAA CODES NINEAPPLE PPLEAPINE
ADENINE ELPPAENIP OOXOO REACH
AEACH FORUM PANEAPPLE TAERG
AECAH GEART PCEAH XAXAX
ANTHROPOGENICALLY GREAG PEACE Black KoansA ATEGR IIIII POMEGRANATE
AAAAA AXXXA LEMMING PPAPP
AAAAAAAAA BBBBBBBBB LEMMINGOLOGICAL PPEPP
AAAAH BCDFG LOOPING PPPPP
AAAXXXAAA CCCAC LPPNP PPPPPAAAA
ABCDE CCCCA MANGO QQQQQ
ACCOMMODATIONISTS CHIPS MMMMM QUEUING
ACEHP COMPUTERS NANNA TANGO
AEAAH EEEEE ONMLE TRIBE
AEIOU ELPPA OOOOO XAAAX
AEIOUXXXXYYYY EPCAH PINEBPPLE XXAXX
AEIOUXXXXYYYYZZZZ EPCHA PINEXPPLE XXXXX
APE GGGAA PINEYPPLE
APPLE GGGAE PIZZA
APPLEPINE HHHHH PNPPL
Here's a few more koans. :)
Lem
Pop
Pea
Jab
Paa
mum
sim
lap
kop
oops I may of misread the hint sorry Dullstar. :-[
Here's my koans.
Pearl
Lemmm
Strug
Maaat
Poutt
Caana
Polic
Kapuu
White Koans
AAAAXAAAA AOXOA HACEP PEARL
AAACA AXAAXAAXA HCAEP PECAH
AAACH AXAXAXA IEACH PINEAPPEE
AAAXAAA BACEIBBDE KAPUU PINEAPPLE
AACAH BACEIDFGO KEBAB PINEEPPLE
AAPAA BEACH KILLERAPPLE PINEOPPLE
AAXAA CAANA LEACH POLIC
AAXAXAAXA CHEAP LEMON PONEAPPLE
AAXAXAXAA CODES NINEAPPLE POSTMODERNISM
ADENINE ELPPAENIP OOXOO POUTT
AEACH FORUM PANEAPPLE PPLEAPINE
AECAH GEART PCEAH REACH
ANTHROPOGENICALLY GREAG PEACE TAERG
AOXAO GREAT PEACH XAXAX
Black Koans
A ATEGR IIIII PIZZA
AAAAA AXXXA LEMMING PNPPL
AAAAAAAAA BBBBBBBBB LEMMINGOLOGICAL POMEGRANATE
AAAAH BCDFG LEMMM PPAPP
AAAXXXAAA CCCAC LOOPING PPEPP
ABCDE CCCCA LPPNP PPPPP
ACCOMMODATIONISTS CHIPS MAAAT PPPPPAAAA
ACEHP COMPUTERS MANGO QQQQQ
AEAAH EEEEE MMMMM QUEUING
AEIOU ELPPA NANNA STRUG
AEIOUXXXXYYYY EPCAH ONMLE TANGO
AEIOUXXXXYYYYZZZZ EPCHA OOOOO TRIBE
APE GGGAA PINEBPPLE XAAAX
APPLE GGGAE PINEXPPLE XXAXX
APPLEPINE HHHHH PINEYPPLE XXXXX
Pearn
pontt
kapii
palic
lemming
White KoansAAAAXAAAA AXAAXAAXA IEACH PEARN
AAACA AXAXAXA KAPII PECAH
AAACH BACEIBBDE KAPUU PINEAPPEE
AAAXAAA BACEIDFGO KEBAB PINEAPPLE
AACAH BEACH KILLERAPPLE PINEEPPLE
AAPAA CAANA LEACH PINEOPPLE
AAXAA CHEAP LEMON POLIC
AAXAXAAXA CODES NINEAPPLE PONEAPPLE
AAXAXAXAA ELPPAENIP OOXOO POSTMODERNISM
ADENINE FORUM PALIC POUTT
AEACH GEART PANEAPPLE PPLEAPINE
AECAH GREAG PCEAH REACH
ANTHROPOGENICALLY GREAT PEACE TAERG
AOXAO HACEP PEACH XAXAX
AOXOA HCAEP PEARL Black KoansA AXXXA LEMMINGOLOGICAL PONTT
AAAAA BBBBBBBBB LEMMM PPAPP
AAAAAAAAA BCDFG LOOPING PPEPP
AAAAH CCCAC LPPNP PPPPP
AAAXXXAAA CCCCA MAAAT PPPPPAAAA
ABCDE CHIPS MANGO QQQQQ
ACCOMMODATIONISTS COMPUTERS MMMMM QUEUING
ACEHP EEEEE NANNA STRUG
AEAAH ELPPA ONMLE TANGO
AEIOU EPCAH OOOOO TRIBE
AEIOUXXXXYYYY EPCHA PINEBPPLE XAAAX
AEIOUXXXXYYYYZZZZ GGGAA PINEXPPLE XXAXX
APE GGGAE PINEYPPLE XXXXX
APPLE HHHHH PIZZA
APPLEPINE IIIII PNPPL
ATEGR LEMMING POMEGRANATE Spoiler
More on "only three letters determine whether a koan is white or black"
Pretend the letters that matter are the first, third, and fifth letters of a koan (this isn't true of the rule, but we'll use it for the sake of example).
Also pretend that the koan AxBxC is white (it wouldn't be, but again, for the sake of example...), where "x" represents any letter. The koans AxCxB, BxAxC, BxCxA, CxAxB, and CxBxA would also be white.
Generally speaking, the three important letters must be in a specific location in the koan, but may be in any order within those positions.
The positions may be either relative to the koan length (e.g. last three letters) or fixed (e.g. 1st, 2nd, and 4th letters).
There may be more than one letter that works in the slots. In the above example, perhaps ExBxC would also work as a white koan despite not containing the letter A.
---
Why might it be impossible to have an even length white koan?
Ugh. It's very inconvenient that LOOPING is black, as I could explain everything else except that... but that presumably can't be marked incorrectly, as it was the original black koan given for this round.
Well, let's probe a bit more.
LOPIG
OOPIN
LAAPING
LOOMING
LOPOING
Oh, dear. My bad. I actually simplified the rule slightly
veeeeery early on (there had been maaaaybe one or two koan posts at the time I did it?), thinking that no koans were out that would have been affected by the change, buuuut somehow I missed LOOPING, which is, indeed, under the changes, white, and, embarrassingly, was the original black koan I gave.
More details (I've marked with a spoiler but I don't believe this should give any new relevant information that wasn't divulged in earlier hints)
In some of the earlier hints
Spoiler
you may recall this example:
QuotePretend the letters that matter are the first, third, and fifth letters of a koan (this isn't true of the rule, but we'll use it for the sake of example).
Also pretend that the koan AxBxC is white (it wouldn't be, but again, for the sake of example...), where "x" represents any letter. The koans AxCxB, BxAxC, BxCxA, CxAxB, and CxBxA would also be white.
Generally speaking, the three important letters must be in a specific location in the koan, but may be in any order within those positions.
Originally I had it so the letters had to be in the same order as they appeared in PINEAPPLE, which is probably why I chose LOOPING as the first black koan - everything the rule asked for is in it, but it's not in the right order. Upon further thought, though, I thought it was going to be too difficult, so I decided that it would be fine as long as it was there... and didn't double check the lists for affected koans, because there were only like no more then 10 koans at that time.
Sorry about that. :XD:
I checked for other erroneously marked koans and didn't find any, but due to sheer numbers, it wouldn't surprise me if there's at least one hiding around here.
I DID find two black koans that should have been left off of the abridged list, but I'll fix that next time I post a koan list instead of editing this one.
Next time I host, I'm definitely going with an easier rule.
White KoansAAAAXAAAA BACEIBBDE KILLERAPPLE PEARN
AAACA BACEIDFGO LAAPING PECAH
AAACH BEACH LEACH PINEAPPEE
AAAXAAA CAANA LEMON PINEAPPLE
AACAH CHEAP LOOMING PINEEPPLE
AAPAA CODES LOOPING PINEOPPLE
AAXAA ELPPAENIP LOPIG POLIC
AAXAXAAXA FORUM LOPOING PONEAPPLE
AAXAXAXAA GEART NINEAPPLE POSTMODERNISM
ADENINE GREAG OOPIN POUTT
AEACH GREAT OOXOO PPLEAPINE
AECAH HACEP PALIC REACH
ANTHROPOGENICALLY HCAEP PANEAPPLE TAERG
AOXAO IEACH PCEAH XAXAX
AOXOA KAPII PEACE
AXAAXAAXA KAPUU PEACH
AXAXAXA KEBAB PEARL Black KoansA AXXXA LEMMINGOLOGICAL PONTT
AAAAA BBBBBBBBB LEMMM PPAPP
AAAAAAAAA BCDFG LOOPING PPEPP
AAAAH CCCAC LPPNP PPPPP
AAAXXXAAA CCCCA MAAAT PPPPPAAAA
ABCDE CHIPS MANGO QQQQQ
ACCOMMODATIONISTS COMPUTERS MMMMM QUEUING
ACEHP EEEEE NANNA STRUG
AEAAH ELPPA ONMLE TANGO
AEIOU EPCAH OOOOO TRIBE
AEIOUXXXXYYYY EPCHA PINEBPPLE XAAAX
AEIOUXXXXYYYYZZZZ GGGAA PINEXPPLE XXAXX
APE GGGAE PINEYPPLE XXXXX
APPLE HHHHH PIZZA
APPLEPINE IIIII PNPPL
ATEGR LEMMING POMEGRANATE
Then I guess that, of the middle three letters, exactly two must be vowels.
That is indeed correct. :D
Welldone Proxima, :thumbsup: that was a hard rule to get but a good one by Dullstar. :thumbsup:
Okay, let's do a new round! :thumbsup:
White Koans
THOUSAND
Black Koans
MILLION
THOU
MILON
THION
HUNDRED
-- Simon
White Koans
HUNDRED
THION
THOUSAND
Black Koans
MILLION
MILON
THOU
HUND
THI
HI
DRED
ED
D
-- Simon
White Koans
D
DRED
ED
HI
HUND
HUNDRED
THI
THION
THOUSAND
Black Koans
MILLION
MILON
THOU
LEMMING
POODLE
PINEAPPLE
BREAD
PARTY
OCARINA
MELD
MEND
MILD
HUNN
BARACK
White Koans
BARACK LEMMING
BREAD MEND
D OCARINA
DRED PINEAPPLE
ED POODLE
HI THI
HUND THION
HUNDRED THOUSAND
Black Koans
HUN
HUNN
MELD
MILD
MILLION
MILON
PARTY
THOU
I made a typo :) I put HUN instead of HUND in the white list, then I looked again and realised it should be black, and forgot to check whether it was the actual koan asked. So you now have that one for free :)
BANANA
CHEESECAKE
LLAMA
GOAT
TELEVISION
ALPACA
White Koans
ALPACA LEMMING
BARACK MEND
BREAD OCARINA
CHEESECAKE PINEAPPLE
D POODLE
DRED TELEVISION
ED THI
HI THION
HUND THOUSAND
HUNDRED
Black Koans
BANANA
GOAT
HUN
HUNN
LLAMA
MELD
MILD
MILLION
MILON
PARTY
THOU
HIT
HTI
THO
LAPACA
CALAPA
HUMP
PUMP
-- Simon
White Koans
ALPACA HUNDRED
BARACK LAPACA
BREAD LEMMING
CALAPA MEND
CHEESECAKE OCARINA
D PINEAPPLE
DRED POODLE
ED PUMP
HI TELEVISION
HIT THI
HTI THION
HUMP THOUSAND
HUND
Black Koans
BANANA
GOAT
HUN
HUNN
LLAMA
MELD
MILD
MILLION
MILON
PARTY
THO
THOU
MEL
PARDY
I
O
CHEESECOKE
LPC
-- Simon
White Koans
ALPACA I
BARACK LAPACA
BREAD LEMMING
CALAPA LPC
CHEESECAKE MEL
CHEESECOKE MEND
D OCARINA
DRED PARDY
ED PINEAPPLE
HI POODLE
HIT PUMP
HTI TELEVISION
HUMP THI
HUND THION
HUNDRED THOUSAND
Black Koans
BANANA
GOAT
HUN
HUNN
LLAMA
MELD
MILD
MILLION
MILON
O
PARTY
THO
THOU
ELPECE
ILPICI
OLPOCO
ULPUCU
(test for effects of swapping vowels in a longer koan)
BARRACK
BARRACKS
(test of adding additional letters to existing white koans)
ANIRACO
GNIMMEL
ELPPAENIP
(preliminary test of anagrams)
White Koans
ALPACA HUNDRED
ANIRACO I
BARACK LAPACA
BARRACK LEMMING
BARRACKS LPC
BREAD MEL
CALAPA MEND
CHEESECAKE OCARINA
CHEESECOKE OLPOCO
D PARDY
DRED PINEAPPLE
ED POODLE
ELPECE PUMP
ELPPAENIP TELEVISION
HI THI
HIT THION
HTI THOUSAND
HUMP ULPUCU
HUND
Black Koans
BANANA
GNIMMEL
GOAT
HUN
HUNN
ILPICI
LLAMA
MELD
MILD
MILLION
MILON
O
PARTY
THO
THOU
II
III
OO
OOO
IO
IOO
IOOO
-- Simon
White Koans
ALPACA HI LPC
ANIRACO HIT MEL
BARACK HTI MEND
BARRACK HUMP OCARINA
BARRACKS HUND OLPOCO
BREAD HUNDRED PARDY
CALAPA I PINEAPPLE
CHEESECAKE II POODLE
CHEESECOKE III PUMP
D IO TELEVISION
DRED IOO THI
ED IOOO THION
ELPECE LAPACA THOUSAND
ELPPAENIP LEMMING ULPUCU
Black Koans
BANANA
GNIMMEL
GOAT
HUN
HUNN
ILPICI
LLAMA
MELD
MILD
MILLION
MILON
O
OO
OOO
PARTY
THO
THOU
I've decided to start recording my train of thought when picking a koan list, so that way if I forget why I chose a certain set of koans, I can see what I was thinking. Plus, it might help someone else figure something out.
Spoiler
Since LEMMING is white but GNIMMEL (lemming backwards) is black, we know that the order of letters within a koan makes a difference. However, some koans have more than one possible arrangement of letters (ALPACA/CALAPA, OCARINA/ANIRACO). I will start by testing the remaining untested arrangements of HIT, since it's already been started. This will probably not going to tell me anything useful, but I'm going to try it anyway.
I thought I might have something to test by noticing that D is white and there are no black koans beginning with D, but what I intended to test (can a white koan become black by adding letters to the end?) is already determined through I being white but ILPICI being black. Three arbitrary koans starting with D have been chosen in an attempt to prove that a koan can start with D and be black.
Of interest to me is that some most substitutions in the ALPACA test were white (ALPACA, ELPECE, OLPOCO, ULPUCU, but ILPICI was black. As a result, I am choosing to test for patterns. The next koan on the list to contain only one unique vowel is BARACK, so the next set of vowel substitution tests will be performed on this koan.
Finally, three arbitrary words have been chosen in the hopes that one of them may be useful to perform tests on later.
BERECK
BIRICK
BOROCK
BURUCK
TIH
IHT
ITH
DINNER
DISJOINTED
DOLPHIN
INBOX
NEOLEMMIX
STAPLE
Good stuff, I like your thought processes :)
White Koans
ALPACA ELPECE LEMMING
ANIRACO ELPPAENIP LPC
BARACK HI MEL
BARRACK HIT MEND
BARRACKS HTI NEOLEMMIX
BERECK HUMP OCARINA
BOROCK HUND OLPOCO
BURUCK HUNDRED PARDY
BREAD I PINEAPPLE
CALAPA IHT POODLE
CHEESECAKE II PUMP
CHEESECOKE III STAPLE
D INBOX TELEVISION
DINNER IO THI
DISJOINTED IOO THION
DOLPHIN IOOO THOUSAND
DRED ITH TIH
ED LAPACA ULPUCU
Black Koans
BANANA MILD
BIRICK MILLION
GNIMMEL MILON
GOAT O
HUN OO
HUNN OOO
ILPICI PARTY
LLAMA THO
MELD THOU
Variants of STAPLE:
STEPLE
STIPLE
STOPLE
STUPLE
STEPLA
^ all white
Simon asked for the answer, so here goes:
Spoiler
A koan has the buddha nature if it contains at least one of {I, V, X, L, C, D, M}, and all substrings containing only those letters are valid Roman numerals. For this rule, a valid Roman numeral is the unique representation of a number from 1 to 3888 using the standard rules, such as LIX = 59. Examples of invalid Roman numerals (thus causing all koans containing them to be black) are IL, IM, LL.
This sounds very hard. I feel the solution is appropriate. RIP Zendo thread, we had good fun. :lix-grin:
-- Simon
That was a good one Proxima, probably would of took a long time to get that one.
New rule for anyone who fancies playing. Inital examples as follows:
White Koan
MARY
Black Koan
POPPINS
MAR
MA
M
White Koans
MARY
MAR
MA
M
Black Koan
POPPINS
PAR
POR
POP
Ten years it has been!
MOPPINS
POPINS
POINS
POPP
POIN
PO
P
-- Simon
WILLLEM white koan
NAMIDA black koan
GATOR
TOR
GAT
BUS
BAS
BUSY
BASY
Quote from: The64Watcher on November 02, 2024, 07:42:03 PMWILLLEM white koan
NAMIDA black koan
Unless you're the host of a round (which you aren't; it's currently WillLem), you either need to try koans so that the host can
tell you if they're black or white, or else you try to guess the rule (by actually saying what you think the rule is). Your goal is to figure out the rules that determine if a koan is black or white, not to figure out specifically which koans are which (and certianly not to just arbitrarily declare them as such).
oops, well uhh im not that good at figuring out what cryptic message that was the intructions... sorry
White KoansMARY - MAR - MA - M - PAR - POR - POINS - POIN - PO - P
GATOR - TOR - GAT - BUS - BAS - BUSY - BASY
Black KoansPOPPINS - POP - MOPPINS - POPINS - POPP - WILLLEM - NAMIDA
Quote from: The64Watcher on November 02, 2024, 11:03:03 PMoops, well uhh im not that good at figuring out what cryptic message that was the intructions... sorry
The idea of this game is to guess the secret rule.
All you need to do is guess some words. A white or black koan is then assigned to each of the words you've guessed. If assigned a white koan, the word fulfils the secret rule. If assigned a black koan, the word does not fulfil the secret rule.
By observing the white koan and black koan words, it should be possible to guess what the secret rule is - both koans are good, because between them they present all the information you need to determine the secret rule.
ok, im gonna guess the funniest koan ever
SOUP
I guess: A koan has the buddha nature iff, for every letter in the alphabet (A-Z), the koan contains either 0 or 1 copies of that letter.
-- Simon
Quote from: Simon on November 03, 2024, 08:58:49 PMI guess: A koan has the buddha nature iff, for every letter in the alphabet (A-Z), the koan contains either 0 or 1 copies of that letter.
Correct! :thumbsup: :thumbsup: :thumbsup:
Thanks! I'll leave first dibs to Proxima, he wasn't around for the offline Zendo session in Leeds.
Should Proxima not want to host, or not post within 48 hours (before Wed, 6th, 01:12 UTC): I have a rule to run next.
-- Simon
Nah, you should go.
All right, new round!
White koans:
BANANA
Black koans:
APPLEPIE
-- Simon
CHOCOLATE
APPLE
BLUEBERRYMUFFIN
CHERRYPIE
TOMATO
MELON
All black.
White koans:
BANANA
Black koans:
APPLE
APPLEPIE
BLUEBERRYMUFFIN
CHERRYPIE
CHOCOLATE
MELON
TOMATO
-- Simon
Guess: A koan is white if and only if it is the string BANANA.
Counterexample: BA is white even though it's not the string BANANA.
White koans:
BA
BANANA
Black koans:
APPLE
APPLEPIE
BLUEBERRYMUFFIN
CHERRYPIE
CHOCOLATE
MELON
TOMATO
-- Simon
Wasn't expecting to be right, but as with the PINEAPPLE round earlier, the possibility was too funny to leave it unguessed.
BAN
BANA
BANANANA
BANANARAMA
White koans:
BA
BANA
BANANA
BANANANA
BANANARAMA
Black koans:
APPLE
APPLEPIE
BAN
BLUEBERRYMUFFIN
CHERRYPIE
CHOCOLATE
MELON
TOMATO
-- Simon
MEL
MAN
BEN
White koans:
BA
BANA
BANANA
BANANANA
BANANARAMA
Black koans:
APPLE CHOCOLATE
APPLEPIE MAN
BAN MEL
BEN MELON
BLUEBERRYMUFFIN TOMATO
CHERRYPIE
-- Simon
LAME
LLAMA
TARA
MA
MANA
MAL
White koans:
BA
BANA
BANANA
BANANANA
BANANARAMA
MA
MANA
Black koans:
APPLE CHOCOLATE
APPLEPIE MAL
BAN MAN
BEN MEL
BLUEBERRYMUFFIN MELON
CHERRYPIE TOMATO
-- Simon
You missed my guesses on the previous page.
Anyway, some new ones:
ANANAB
ANANA
NANA
MERE
SOLO
TOMOTO
TAMATA
BNNNNN
BNNNNA
BANNNN
Yes, sorry, I missed namida's post. Thus, this listing adds the koans from 3 posts, 2 by namida, 1 by Proxima.
White koans:
ANANAB MANA
BA MERE
BANA NANA
BANANA SOLO
BANANANA TAMATA
BANANARAMA TARA
MA TOMOTO
Black koans:
APPLE CHOCOLATE
APPLEPIE LAME
BAN LLAMA
BANNNN MAL
BEN MAN
BLUEBERRYMUFFIN MEL
BNNNNA MELON
BNNNNN TOMATO
CHERRYPIE
-- Simon
Guess: a koan is white if it alternates vowels and consonants, has even length, and all the vowels are the same.
Counterexample: BC is white, but it doesn't alternate vowels with consonants.
-- Simon
BCN
BCNC
BCNA
White koans:
ANANAB MA
BA MANA
BANA MERE
BANANA NANA
BANANANA SOLO
BANANARAMA TAMATA
BC TARA
BCNC TOMOTO
Black koans:
APPLE CHERRYPIE
APPLEPIE CHOCOLATE
BAN LAME
BANNNN LLAMA
BCN MAL
BCNA MAN
BEN MEL
BLUEBERRYMUFFIN MELON
BNNNNA TOMATO
BNNNNN
I think the bolding (to mark newly added koans) is hardly visible. I'll rewrite the koan formatter to append prepend asterisks * to new koans.
-- Simon
BNCN
BNCNCN
BCNCNC
Hope no-one minds me guessing so frequently.
White koans:
ANANAB * BNCNCN
BA MA
BANA MANA
BANANA MERE
BANANANA NANA
BANANARAMA SOLO
BC TAMATA
BCNC TARA
* BCNCNC TOMOTO
* BNCN
Black koans:
APPLE CHERRYPIE
APPLEPIE CHOCOLATE
BAN LAME
BANNNN LLAMA
BCN MAL
BCNA MAN
BEN MEL
BLUEBERRYMUFFIN MELON
BNNNNA TOMATO
BNNNNN
-- Simon
ABACAD
BCBDBF
BCBN
White koans:
* ABACAD * BCBDBF MERE
ANANAB * BCBN NANA
BA BCNC SOLO
BANA BCNCNC TAMATA
BANANA BNCN TARA
BANANANA BNCNCN TOMOTO
BANANARAMA MA
BC MANA
Black koans:
APPLE CHERRYPIE
APPLEPIE CHOCOLATE
BAN LAME
BANNNN LLAMA
BCN MAL
BCNA MAN
BEN MEL
BLUEBERRYMUFFIN MELON
BNNNNA TOMATO
BNNNNN
-- Simon
Guess: A koan is white if and only if some letter appears exactly (length/2) times.
That is correct, you win! No alternation of letters is necessary.
-- Simon
I've put zendofmt, my koan formatter, on github (https://github.com/SimonN/zendofmt).
Download it from the Releases page (https://github.com/SimonN/zendofmt/releases/).
Run it from a console without arguments. It looks for the two files koans-w.txt and koans-b.txt in its directory; the files should have one koan per line. When you add new koans, make a blank line in the file, then list new koans below the blank line; these koans will get asterisks in zendofmt's output.
-- Simon
This was a very interesting round. Run on a random sample of koans, that rule would produce a huge majority of black, but we actually had a slight majority of white because we found partial patterns and kept experimenting with them to try to find koans that broke the apparent pattern. And indeed, the thread that revealed everything was BNNNNN being black, which made me realise that total number was relevant and not alternating patterns.
New rule:
White koans:
LEMMING
Black koans:
LIME
Thanks! Yes, I hoped that the pattern would eventually appear, and it did quickly indeed. You found long white koans even before you found that all 2-letter koans (except AA, BB, ...) were white. The emergency fallback was that APPLEP, a prefix of the black starter, would have been white.
LEMING
LIMENG
LIMEN
LEMMINGE
LEMMINGS
LEMI
L
-- Simon
White koans:
LEMMING
LEMMINGE
LEMMINGS
Black koans:
L
LEMI
LEMING
LIME
LIMEN
LIMENG
A koan is white iff it contains the substring LEMMING.
A koan is white iff it starts with the substring LEMMING.
EE
MM
EMMING
MMING
MMEMM
-- Simon
White koans:
EMMING <-- disproves both rule guesses
LEMMING
LEMMINGE
LEMMINGS
MMING
MMEMM
Black koans:
EE
L
LEMI
LEMING
LIME
LIMEN
LIMENG
MM
LMMNG
EI
White koans:
EMMING
LEMMING
LEMMINGE
LEMMINGS
LMMNG
MMING
MMEMM
Black koans:
EE
EI
L
LEMI
LEMING
LIME
LIMEN
LIMENG
MM
MMIN
MINM
MMI
MIM
MMM
MLEINGM
MIMIMIM
EEING
-- Simon
White koans:
EMMING
LEMMING
LEMMINGE
LEMMINGS
LMMNG
MIMIMIM
MLEINGM
MMING
MMEMM
Black koans:
EE
EEING
EI
L
LEMI
LEMING
LIME
LIMEN
LIMENG
MIM
MINM
MM
MMI
MMIN
MMM
A koan is white iff it has 5 or more letters, and at least 2 of them (anywhere) are M.
-- Simon
Counterexample: MMMI is white.
CUDDLE
MAGIC
FISH
PARALLELOGRAM
^ all white
For a word to be assigned a white koan, it must contain at least 4 total letters, and then either >1 "M" or at least 1 vowel.
The white FISH is odd, hmm.
MMMO
EEE
EEEI
LLL
LLLI
LLLLLL
LLLLLLL
-- Simon
I assure you it's not a red herring :P
White koans:
CUDDLE MLEINGM
EMMING MMING
FISH MMEMM
LEMMING MMMI
LEMMINGE MMMO
LEMMINGS PARALLELOGRAM
LMMNG
MAGIC
MIMIMIM
Black koans:
EE LIMENG MMM
EEE LLL
EEEI LLLI
EEING LLLLLL
EI LLLLLLL
L MIM
LEMI MINM
LEMING MM
LIME MMI
LIMEN MMIN
Note that EEEI disproves Will's rule guess.
FISHING
FSH
FISHLEMMING
LEMMINGFISH
White koans:
CUDDLE LMMNG
EMMING MAGIC
FISH MIMIMIM
FISHING MLEINGM
FISHLEMMING MMEMM
LEMMING MMING
LEMMINGE MMMI
LEMMINGFISH MMMO
LEMMINGS PARALLELOGRAM
Black koans:
EE LIMEN MMIN
EEE LIMEING MMM
EEEI LLL
EEING LLLI
EI LLLLLL
FSH LLLLLLL
L MIM
LEMI MINM
LEMING MM
LIME MMI
EISH
GISH
HISH
FMSH
FLSH
-- Simon
White koans:
CUDDLE LEMMINGE MMING
EMMING LEMMINGFISH MMMI
FISH LEMMINGS MMMO
FISHING LIMEING PARALLELOGRAM
FISHLEMMING LMMNG
FLSH MAGIC
FMSH MIMIMIM
HISH MLEINGM
LEMMING MMEMM
Black koans:
EE LEMING MM
EEE LIME MMI
EEEI LIMEN MMIN
EEING LIMENG MMM
EI LLL
EISH LLLI
FSH LLLLLL
GISH LLLLLLL
L MIM
LEMI MINM
Apologies, there was a typo in the previous list. LIMENG was the koan asked and this was (correctly) marked black, but I typoed it as LIMEING, which would be white. I've fixed this by adding both to the lists.
LEM
EMM
MIN
ING
(EDIT: Removed "MMI" as I noticed that one is already on the list.)
Quote from: Proxima on November 05, 2024, 06:48:01 PMI assure you it's not a red herring :P
Haha :crylaugh:
Quote from: Proxima on November 05, 2024, 06:48:01 PMNote that EEEI disproves Will's rule guess.
Not so much. The guess is 4 letters or more, then
either at least 2 Ms
or at least 1 vowel.
Can rules have either/or statements?
Quote from: WillLem on November 05, 2024, 10:43:38 PMQuote from: Proxima on November 05, 2024, 06:48:01 PMI assure you it's not a red herring :P
Haha :crylaugh:
Quote from: Proxima on November 05, 2024, 06:48:01 PMNote that EEEI disproves Will's rule guess.
Not so much. The guess is 4 letters or more, then either at least 2 Ms or at least 1 vowel.
Can rules have either/or statements?
Rules can have either/or statements, they can be as complex as the host wants (although simple but creative rules tend to be the best ones). They just can't depend on external factors like "who posted them" etc, unless that external factor could be explained
without referring to external factors - for example, you could have "must contain the spelling of a single-digit integer" because although "the spelling of single digit integers" is external knowledge, you could redefine this rule as simply "must contain one of the following exact substrings: ONE, TWO, ...".
However, EEEI does indeed disprove your guess, because EEEI is four letters or more, and does contain either two Ms or at least one vowel (specifically, the latter). By your guess, this koan would be white; but it is actually black.
Keep in mind that disproving a guess simply requires the host to present a koan that your guess vs their official rule, would judge differently. It does not matter whether the actual rule or your guess is the one that marks it as white.
Quote from: namida on November 05, 2024, 10:49:17 PMRules can have either/or statements
Thanks for clarifying, and for the additional info regarding rules.
Quote from: namida on November 05, 2024, 10:49:17 PMHowever, EEEI does indeed disprove your guess, because ... By your guess, this koan would be white; but it is actually black.
Ah, whoops. I didn't notice that it was in the list of black koans! :forehead:
namida's new guesses are all black:
White koans:
CUDDLE LEMMINGE MMING
EMMING LEMMINGFISH MMMI
FISH LEMMINGS MMMO
FISHING LIMEING PARALLELOGRAM
FISHLEMMING LMMNG
FLSH MAGIC
FMSH MIMIMIM
HISH MLEINGM
LEMMING MMEMM
Black koans:
EE L LLLLLLL
EEE LEM MIM
EEEI LEMI MIN
EEING LEMING MINM
EI LIME MM
EISH LIMEN MMI
EMM LIMENG MMIN
FSH LLL MMM
GISH LLLI
ING LLLLLL
Wondering if I made this too hard and people would like a hint or two.
Quote from: Proxima on November 06, 2024, 10:30:10 PMWondering if I made this too hard and people would like a hint or two.
Yeah, a hint would be good. I'm always happy to work with hints though, others might want to wait a bit longer.
I have found some patterns and would prefer to continue without hints yet. I still have yet-unresearched ideas.
MMMM
EEEE
FFFF
FFFI
GGGG
GGGI
Expectation: I expect the 4 M's to be white, the 4 F's to be white, the 4 E's to be black, and the 4 G's to be black.
If this expectation turns out true, then I'd like to test all 26 4-letter words with all-identical characters. I'll then call a letter heavy iff its 4-letter all-identical-letters word is white. Then I'll guess: AKHTBN iff it is at least 4 letters long, and it contains at least 2 heavy letters.
If the expectation turns out false:
New expectation: I expect FFFI to be white, GGGI to be black.
If this new expectation turns out true, then I'd like to test all 26 4-letter words of the form xxxI where the 3 x are all-identical characters, and the letter I is fixed at the end. (I.e., I'd like to test AAAI, BBBI, ..., ZZZI.) I'll then call a letter x heavy iff xxxI is white. Then I'll guess: AKHTBN iff it is at least 4 letters long, and it contains at least 2 heavy letters.
I'll see if I want hints after all this; I expect to find more patterns from this first.
-- Simon
So, according to the second of Simon's guesses (i.e. if the first guess turns out to be false), E and L would be non-heavy letters? (Because EEEI and LLLI have already been assigned black koans).
Just wanting to make sure I understand.
Right, E and L will be non-heavy. I wrote "test all 26 ..." so it's clearer what I want, even though I know some of the results already (EEEI is black).
-- Simon
This is some great Zendo-science, although 51 koans is a lot to add at once. Let's see how to do this....
Here's the current list plus the first six guesses:
White koans:
CUDDLE HISH MLEINGM
EMMING LEMMING MMEMM
FFFF LEMMINGE MMING
FFFI LEMMINGFISH MMMI
FISH LEMMINGS MMMM
FISHING LIMEING MMMO
FISHLEMMING LMMNG PARALLELOGRAM
FLSH MAGIC
FMSH MIMIMIMBlack koans:
EE GISH LLLLLL
EEE ING LLLLLLL
EEEE L MIM
EEEI LEM MIN
EEING LEMI MINM
EI LEMING MM
EISH LIME MMI
EMM LIMEN MMIN
FSH LIMENG MMN
GGGG LLL
GGGI LLLIQuote from: Simon on November 07, 2024, 12:09:29 PMExpectation: I expect the 4 M's to be white, the 4 F's to be white, the 4 E's to be black, and the 4 G's to be black.
All correct!
QuoteIf this expectation turns out true, then I'd like to test all 26 4-letter words with all-identical characters.
Okay, I won't add these to the main list (unless you prefer me to), but:
xxxx white:
B C F H J K M P Q V W X Y Zxxxx black:
A D E G I L N O R S T UQuoteI expect FFFI to be white, GGGI to be black.
Also correct!
QuoteIf this new expectation turns out true, then I'd like to test all 26 4-letter words of the form xxxI where the 3 x are all-identical characters, and the letter I is fixed at the end. (I.e., I'd like to test AAAI, BBBI, ..., ZZZI.) I'll then call a letter x heavy iff xxxI is white.
Very well!
It turns out that xxxI is white if and only if xxxx is white, i.e. the set of "heavy" letters is exactly the same as above.
But your rule guess is incorrect:
LIX is white.
Your listing of xxxx white/black is ideal as it is. No need to expand and insert these 26 into the list of individual guesses.
Right, 51 would be a lot to add into the list. I expected at most one of the two batches (of 26 koans each) to get tested: If the xxxx batch got tested (because I was I right on 4 predictions), I wanted to fire the one guess, and then ignore the xxxI batch and its guess. Nonetheless, thanks for confirming that, for each x, the koan xxxI is marked the same as xxxx.
Now:
LLLLLLLL
X
XX
XM
XMM
-- Simon
White koans:
CUDDLE HISH MLEINGM XX
EMMING LEMMING MMEMM
FFFF LEMMINGE MMING
FFFI LEMMINGFISH MMMI
FISH LEMMINGS MMMM
FISHING LIMEING MMMO
FISHLEMMING LMMNG PARALLELOGRAM
FLSH MAGIC XM
FMSH MIMIMIM XMM
Black koans:
EE GISH LLLLLL
EEE ING LLLLLLL
EEEE L LLLLLLLL
EEEI LEM MIM
EEING LEMI MIN
EI LEMING MINM
EISH LIME MM
EMM LIMEN MMI
FSH LIMENG MMIN
GGGG LLL MMN
GGGI LLLI X
EXE
YY
ZZ
LLLLLLLM
LIX (known white counterexample that you can still add to the listing)
-- Simon
White koans:
CUDDLE FMSH LMMNG PARALLELOGRAM
EMMING HISH MAGIC XM
EXE LEMMING MIMIMIM XMM
FFFF LEMMINGE MLEINGM XX
FFFI LEMMINGFISH MMEMM ZZ
FISH LEMMINGS MMING
FISHING LIMEING MMMI
FISHLEMMING LIX MMMM
FLSH LLLLLLLM MMMO
Black koans:
EE GISH LLLLLL YY
EEE ING LLLLLLL
EEEE L LLLLLLLL
EEEI LEM MIM
EEING LEMI MIN
EI LEMING MINM
EISH LIME MM
EMM LIMEN MMI
FSH LIMENG MMIN
GGGG LLL MMN
GGGI LLLI X
AKHTBN iff it worth 10 or more points when we play it in English Scrabble (disregarding legality according to the dictionary).
-- Simon
Exactly right, well done :thumbsup:
Excellent round, thanks!
Adding more letters to a white koan keeps it white, anagramming preserves the status even when we rip apart double letters, some letters (F, H, M) reach the threshold earlier than others.
L would ostensibly never reach threshold, therefore I assumed it was worth 0, but it ended up being worth something. I would have eventually tested 20 L or 100 L. I should have known earlier; after all, MMMI was white.
I looked at the prime factorizations of the IDs of the heavy letters (B = 2 prime, C = 3 prime, D = 4 black, ...), but this was a dead end when M with ID 13 was heavy, but the super-heavy X had the highly-composite ID of 24.
Then X and Z were worth a lot and Scrabble came to mind, and when the investigation came up with the nice round threshold of 10 points (MMM costs 9, MMMI costs 10, both are known), it had to be correct. Thanks!
-- Simon
Glad to know I hit around the sweet spot with difficulty. I wanted to play a harder but still solvable round after my last round from the old game (the Roman numerals one) ended in failure. The Scrabble idea was inspired by a game I'm involved with on another forum where one person thinks of a fictional character and others try to reveal the character's identity by asking questions. If a round drags on long enough, people often start to narrow it down by asking "does their name begin with a letter from A to M?" and so on; and then just for variety, in one round someone asked "Does their name start with a letter worth 1 point in Scrabble?" and that stuck in my memory :)
I gave a little bit of a nudge in the right direction by revealing that LIX was white, which was strictly speaking unnecessary, as I could have pointed to CUDDLE or MMIN as counterexamples.
Anyhow, your round!
Thanks. I don't have a good rule. I'll pass the next round to namida or WillLem, or call open floor if neither wants.
-- Simon
Alright, sure, let's do this. (I'll check out the formatting tool later, just manual for now.)
White
POTATO
Black
CARROT
CAR
POT
ROT
TOMATO
BROCCOLI
I wrote my own code to do it (that also checks the rule for me too, although I'm double-checking it by hand too).
White Koans
POTATO
Black Koans
* BROCCOLI * POT
* CAR * ROT
CARROT * TOMATO
AKHTBN iff it is not ok to eat raw.
AKHTBN iff it is not ok to eat raw, but would be ok to eat cooked.
Quote from: Silken Healer on November 11, 2024, 12:03:46 AMAKHTBN iff it is not ok to eat raw.
Aside from that this probably relies too much on outside knowledge to really define as a proper Zendo rule.
Putting this aside, your counterexample is CHICKEN, which would be white by your guess, but is black.
White Koans POTATO Black Koans BROCCOLI POT
CAR ROT
CARROT TOMATO
* CHICKEN
RAPTOR
ROTOR
MOTOR
ROTATE
CART
OR
TOR
P
White Koans
* MOTOR POTATO
Black Koans
BROCCOLI POT
CAR * RAPTOR
CARROT ROT
* CART * ROTATE
CHICKEN * ROTOR
* OR TOMATO
* P * TOR
AKHTBN iff, removing the first character, the word can be turned into an anagram by removing one character, and the word is not originally an anagram.
NOTOR
OOTOR
POTOR
Quote from: Silken Healer on November 11, 2024, 12:36:19 AMAKHTBN iff, removing the first character, the word can be turned into an anagram by removing one character, and the word is not originally an anagram.
A word can't be an anagram on its own; it must be an anagram of some specific other word (or sequence of characters). I think you might be confusing the term "anagram" with something else. As currently worded, this rule doesn't mean anything and can't be meaningfully judged. (It crosses my mind that maybe you meant
palindrome, but all three-letter koans as well as ROTOR and POTATO are already counterexamples to that.)
White Koans MOTOR POTATO
* NOTOR * POTOR Black Koans BROCCOLI POT
CAR RAPTOR
CARROT ROT
CART ROTATE
CHICKEN ROTOR
* OOTOR TOMATO
OR TOR
P
AKHTBN iff, removing the first character, the koan can be turned into a palindrome by removing one character, the koan, with no chatacters removed, is not originally a palindrome, and the koan is more than one character long.
Quote from: Silken Healer on November 11, 2024, 12:41:50 AMAKHTBN iff, removing the first character, the koan can be turned into a palindrome by removing one character, the koan, with no chatacters removed, is not originally a palindrome, and the koan is more than one character long.
As mentioned in my edit to the previous post, there are already multiple counterexamples that disprove this guess.
CARAT
TOROT
TOTOR
White Koans
* CARAT POTATO
MOTOR POTOR
NOTOR
Black Koans
BROCCOLI RAPTOR
CAR ROT
CARROT ROTATE
CART ROTOR
CHICKEN TOMATO
OOTOR TOR
OR * TOROT
P * TOTOR
POT
Guess: A koan has the Buddha-nature if it contains exactly four distinct letters and its first letter is not repeated.
Quote from: Proxima on November 11, 2024, 12:50:58 AMGuess: A koan has the Buddha-nature if it contains exactly four distinct letters and its first letter is not repeated.
Counterexample: ASSASSINATION (HTBN but has more than four distinct letters *and* the first letter is repeated)
White Koans* ASSASSINATION NOTOR
CARAT POTATO
MOTOR POTOR Black Koans BROCCOLI RAPTOR
CAR ROT
CARROT ROTATE
CART ROTOR
CHICKEN TOMATO
OOTOR TOR
OR TOROT
P TOTOR
POT
Quote from: namida on November 11, 2024, 12:43:15 AMQuote from: Silken Healer on November 11, 2024, 12:41:50 AMAKHTBN iff, removing the first character, the koan can be turned into a palindrome by removing one character, the koan, with no chatacters removed, is not originally a palindrome, and the koan is more than one character long.
As mentioned in my edit to the previous post, there are already multiple counterexamples that disprove this guess.
**
AKHTBN iff (you remove the first character from the koan. Then, you can remove any one character to turn the koan into a palindrome) AND (the original koan is not already a palindrome) AND (
in this rule, a palindrome does not count if it is not at least two characters long)
Quote from: namida on November 11, 2024, 12:40:37 AMIt crosses my mind that maybe you meant palindrome, but all three-letter koans as well as ROTOR and POTATO are already counterexamples to that.
"POTATO," with the first character removed is "OTATO." The third character, "A," can be removed from this to make it a palindrome.
"ROTOR" is already a palindrome.
NATION
OATOR
PATOR
PORTABLE
TEUR
TORBROWSER
ALIEN
BOOBS
Quote from: Silken Healer on November 11, 2024, 12:55:52 AMAKHTBN iff (you remove the first character from the koan. Then, you can remove any one character to turn the koan into a palindrome) AND (the original koan is not already a palindrome) AND (in this rule, a palindrome does not count if it is not at least two characters long)
Counter-example: STATISTIC is white. You can't make a palindrome by removing one letter from "TATISTIC".
White Koans ASSASSINATION NOTOR * STATISTIC
CARAT POTATO * TORBROWSER
MOTOR POTOR Black Koans* ALIEN * OATOR ROT
* BOOBS OOTOR ROTATE
BROCCOLI OR ROTOR
CAR P * TEUR
CARROT * PATOR TOMATO
CART * PORTABLE TOR
CHICKEN POT TOROT
* NATION RAPTOR TOTOR
OTATO
STATS
TAT
KITTEN
KITTENS
MITTEN
MITTENS
KOALA
COLA
PEPSI
White Koans
ASSASSINATION NOTOR STATISTIC
CARAT POTATO TORBROWSER
MOTOR POTOR
Black Koans
ALIEN * MITTENS ROT
BOOBS NATION ROTATE
BROCCOLI OATOR ROTOR
CAR OOTOR * STATS
CARROT OR * TAT
CART * OTATO TEUR
CHICKEN P TOMATO
* COLA PATOR TOR
* KITTEN * PEPSI TOROT
* KITTENS PORTABLE TOTOR
* KOALA POT
* MITTEN
EDIBLE
LEMMING
KARAT
KOTOR
KSSKSSINKTION
White Koans
ASSASSINATION * KSSKSSINKTION POTOR
CARAT MOTOR STATISTIC
* KARAT NOTOR TORBROWSER
* KOTOR POTATO
Black Koans
ALIEN * LEMMING POT
BOOBS MITTEN RAPTOR
BROCCOLI MITTENS ROT
CAR NATION ROTATE
CARROT OATOR ROTOR
CART OOTOR STATS
CHICKEN OR TAT
COLA OTATO TEUR
* EDIBLE P TOMATO
KITTEN PATOR TOR
KITTENS PEPSI TOROT
KOALA PORTABLE TOTOR
A
AA
AAA
AAAA
AAAAA
ASSIGNABLE
ASSIGNABLELEMMING
ASSIGNABLELIX
APOTATOA
POTATOP
OPOTATO
BPOTATOB
EPOTATOE
XPOTATOX
EDIBLEASSIGNABLELEMMING
ATORBROWSERA
BTORBROWSERB
TORBROWSERT
RTORBROWSER
White Koans
ASSASSINATION KSSKSSINKTION POTOR
CARAT MOTOR STATISTIC
KARAT NOTOR TORBROWSER
KOTOR POTATO
Black Koans
* A COLA PORTABLE
* AA EDIBLE POT
* AAA * EDIBLEASSIGNABLELEMMING * POTATOP
* AAAA * EPOTATOE RAPTOR
* AAAAA KITTEN ROT
ALIEN KITTENS ROTATE
* APOTATOA KOALA ROTOR
* ASSIGNABLE LEMMING * RTORBROWSER
* ASSIGNABLELEMMING MITTEN STATS
* ASSIGNABLELIX MITTENS TAT
* ATORBROWSERA NATION TEUR
BOOBS OATOR TOMATO
* BPOTATOB OOTOR TOR
BROCCOLI * OPOTATO * TORBROWSERT
* BTORBROWSERB OR TOROT
CAR OTATO TOTOR
CARROT P * XPOTATOX
CART PATOR
CHICKEN
ORBROWSERT
TATISTICS
RPOTO
NAMIDA
XNAMIDAX
ANAMID
AMIDAN
MIDANA
IDANAN
DANAMI
DANAMID
White Koans
ASSASSINATION KSSKSSINKTION POTATO
CARAT MOTOR POTOR
* DANAMI * NAMIDA STATISTIC
KARAT NOTOR TORBROWSER
KOTOR * ORBROWSERT
Black Koans
A COLA PEPSI
AA * DANAMID PORTABLE
AAA EDIBLE POT
AAAA EDIBLEASSIGNABLELEMMING POTATOP
AAAAA EPOTATOE RAPTOR
ALIEN * IDANAN ROT
* AMIDAN KITTEN ROTATE
* ANAMID KITTENS ROTOR
APOTATOA KOALA * RPOTO
ASSIGNABLE LEMMING RTORBROWSER
ASSIGNABLELEMMING * MIDANA STATS
ASSIGNABLELIX MITTEN TAT
ATORBROWSERA MITTENS * TATISTICS
BOOBS NATION TEUR
BPOTATOB OATOR TOMATO
BROCCOLI OOTOR TOR
BTORBROWSERB OPOTATO TORBROWSERT
CAR OR TOROT
CARROT OTATO TOTOR
CART P * XNAMIDAX
CHICKEN PATOR XPOTATOX
ASSASSIN
ASSASSINATIONBAR
ASSASSINATIONBRA
ZRACECARRACECARRACECARX
PROXIMA
WILLLEM
SIMON
ICHOTOLOT
GEOO
KAYWHYN
RACECARRACECARRACECARA
ARACECARARACECARARACECAR
ARACECARRACECARRACECAR
White Koans
* ASSASSIN KSSKSSINKTION POTOR
ASSASSINATION MOTOR * RACECARRACECARRACECARA
CARAT NAMIDA STATISTIC
DANAMI NOTOR TORBROWSER
KARAT ORBROWSERT * ZRACECARRACECARRACECARX
KOTOR POTATO
Black Koans
A COLA PORTABLE
AA DANAMID POT
AAA EDIBLE POTATOP
AAAA EDIBLEASSIGNABLELEMMING * PROXIMA
AAAAA EPOTATOE RAPTOR
ALIEN * GEOO ROT
AMIDAN * ICHOTOLOT ROTATE
ANAMID IDANAN ROTOR
APOTATOA * KAYWHYN RPOTO
* ARACECARARACECARARACECAR KITTEN RTORBROWSER
* ARACECARRACECARRACECAR KITTENS * SIMON
* ASSASSINATIONBAR KOALA STATS
* ASSASSINATIONBRA LEMMING TAT
ASSIGNABLE MIDANA TATISTICS
ASSIGNABLELEMMING MITTEN TEUR
ASSIGNABLELIX MITTENS TOMATO
ATORBROWSERA NATION TOR
BOOBS OATOR TORBROWSERT
BPOTATOB OOTOR TOROT
BROCCOLI OPOTATO TOTOR
BTORBROWSERB OR * WILLLEM
CAR OTATO XNAMIDAX
CARROT P XPOTATOX
CART PATOR
CHICKEN
BTTBTTJOBUJPO
PATAR
POTAR
POTARO
White Koans
ASSASSIN KSSKSSINKTION POTATO
ASSASSINATION MOTOR POTOR
* BTTBTTJOBUJPO NAMIDA RACECARRACECARRACECARA
CARAT NOTOR STATISTIC
DANAMI ORBROWSERT TORBROWSER
KARAT * PATAR ZRACECARRACECARRACECARX
KOTOR * POTARO
Black Koans
A COLA PORTABLE
AA DANAMID POT
AAA EDIBLE * POTAR
AAAA EDIBLEASSIGNABLELEMMING POTATOP
AAAAA EPOTATOE PROXIMA
ALIEN GEOO RAPTOR
AMIDAN ICHOTOLOT ROT
ANAMID IDANAN ROTATE
APOTATOA KAYWHYN ROTOR
ARACECARARACECARARACECAR KITTEN RPOTO
ARACECARRACECARRACECAR KITTENS RTORBROWSER
ASSASSINATIONBAR KOALA SIMON
ASSASSINATIONBRA LEMMING STATS
ASSIGNABLE MIDANA TAT
ASSIGNABLELEMMING MITTEN TATISTICS
ASSIGNABLELIX MITTENS TEUR
ATORBROWSERA NATION TOMATO
BOOBS OATOR TOR
BPOTATOB OOTOR TORBROWSERT
BROCCOLI OPOTATO TOROT
BTORBROWSERB OR TOTOR
CAR OTATO WILLLEM
CARROT P XNAMIDAX
CART PATOR XPOTATOX
CHICKEN PEPSI
POTAPA
POTAPO
POTATA
TATA
TATO
TAXA
White Koans
ASSASSIN KSSKSSINKTION POTATO
ASSASSINATION MOTOR POTOR
BTTBTTJOBUJPO NAMIDA RACECARRACECARRACECARA
CARAT NOTOR STATISTIC
DANAMI ORBROWSERT * TAXA
KARAT PATAR TORBROWSER
KOTOR POTARO ZRACECARRACECARRACECARX
Black Koans
A EDIBLE POTAR
AA EDIBLEASSIGNABLELEMMING * POTATA
AAA EPOTATOE POTATOP
AAAA GEOO PROXIMA
AAAAA ICHOTOLOT RAPTOR
ALIEN IDANAN ROT
AMIDAN KAYWHYN ROTATE
ANAMID KITTEN ROTOR
APOTATOA KITTENS RPOTO
ARACECARARACECARARACECAR KOALA RTORBROWSER
ARACECARRACECARRACECAR LEMMING SIMON
ASSASSINATIONBAR MIDANA STATS
ASSASSINATIONBRA MITTEN TAT
ASSIGNABLE MITTENS * TATA
ASSIGNABLELEMMING NATION TATISTICS
ASSIGNABLELIX OATOR * TATO
ATORBROWSERA OOTOR TEUR
BOOBS OPOTATO TOMATO
BPOTATOB OR TOR
BROCCOLI OTATO TORBROWSERT
BTORBROWSERB P TOROT
CAR PATOR TOTOR
CARROT PEPSI WILLLEM
CART PORTABLE XNAMIDAX
CHICKEN POT XPOTATOX
COLA * POTAPA
DANAMID
ASSA
ATLA
ATTA
ATTO
White Koans
ASSASSIN KSSKSSINKTION POTOR
ASSASSINATION MOTOR RACECARRACECARRACECARA
* ATTO NAMIDA STATISTIC
BTTBTTJOBUJPO NOTOR TAXA
CARAT ORBROWSERT TORBROWSER
DANAMI PATAR ZRACECARRACECARRACECARX
KARAT POTARO
KOTOR POTATO
Black Koans
A CHICKEN POT
AA COLA POTAPA
AAA DANAMID POTAR
AAAA EDIBLE POTATA
AAAAA EDIBLEASSIGNABLELEMMING POTATOP
ALIEN EPOTATOE PROXIMA
AMIDAN GEOO RAPTOR
ANAMID ICHOTOLOT ROT
APOTATOA IDANAN ROTATE
ARACECARARACECARARACECAR KAYWHYN ROTOR
ARACECARRACECARRACECAR KITTEN RPOTO
* ASSA KITTENS RTORBROWSER
ASSASSINATIONBAR KOALA SIMON
ASSASSINATIONBRA LEMMING STATS
ASSIGNABLE MIDANA TAT
ASSIGNABLELEMMING MITTEN TATA
ASSIGNABLELIX MITTENS TATISTICS
* ATLA NATION TATO
ATORBROWSERA OATOR TEUR
* ATTA OOTOR TOMATO
BOOBS OPOTATO TOR
BPOTATOB OR TORBROWSERT
BROCCOLI OTATO TOROT
BTORBROWSERB P TOTOR
CAR PATOR WILLLEM
CARROT PEPSI XNAMIDAX
CART PORTABLE XPOTATOX
ZZZZ
ZAZZ
ZAAZ
BBBB
ZBZZ
ZBBZ
BABB
BAAB
SSSS
SASS
SAAS
ASSO
ATLO
As well as the above, every letter of the alphabet in the following format (sorry!):
.
..
...
....
.....
By all means, express these as some statement rather than placing every single one into the list of koans.
White Koans
ASSASSIN KOTOR POTATO
ASSASSINATION KSSKSSINKTION POTOR
* ASSO MOTOR RACECARRACECARRACECARA
ATTO NAMIDA STATISTIC
BTTBTTJOBUJPO NOTOR TAXA
CARAT ORBROWSERT TORBROWSER
DANAMI PATAR ZRACECARRACECARRACECARX
KARAT POTARO
Black Koans
A CHICKEN POTATOP
AA COLA PROXIMA
AAA DANAMID RAPTOR
AAAA EDIBLE ROT
AAAAA EDIBLEASSIGNABLELEMMING ROTATE
ALIEN EPOTATOE ROTOR
AMIDAN GEOO RPOTO
ANAMID ICHOTOLOT RTORBROWSER
APOTATOA IDANAN * SAAS
ARACECARARACECARARACECAR KAYWHYN * SASS
ARACECARRACECARRACECAR KITTEN SIMON
ASSA KITTENS * SSSS
ASSASSINATIONBAR KOALA STATS
ASSASSINATIONBRA LEMMING TAT
ASSIGNABLE MIDANA TATA
ASSIGNABLELEMMING MITTEN TATISTICS
ASSIGNABLELIX MITTENS TATO
ATLA NATION TEUR
* ATLO OATOR TOMATO
ATORBROWSERA OOTOR TOR
ATTA OPOTATO TORBROWSERT
* BAAB OR TOROT
* BABB OTATO TOTOR
* BBBB P WILLLEM
BOOBS PATOR XNAMIDAX
BPOTATOB PEPSI XPOTATOX
BROCCOLI PORTABLE * ZAAZ
BTORBROWSERB POT * ZAZZ
CAR POTAPA * ZBBZ
CARROT POTAR * ZBZZ
CART POTATA * ZZZZ
Other notes
All koans that consist of a single letter, repeated between 1 and 5 times (inclusive), are black.
Okay, so... I need to get ready for / head off to work now, so I won't be able to update this for a while.
The rage these days seems to be to get AI to fill in for such tasks, and I figure an app is close enough. Here's my formatting tool, which has the rule hardcoded into it (ie: you can't see the rule, but you can test your koans against it). It can evaluate white / black koans for you all while I'm away. I will be able to view the forum on my breaks (using my phone, so can't run the formatter app or effectively edit nicely-formatted tables in posts), so I can confirm if a rule guess is correct or not and provide counter-examples, as well as address mass guesses like WillLem's one of strings of letters.
App attached. .NET 8.0 required. "old.txt" should be placed in the same directory (if desired), it contains a list of all the prior guesses so it knows which ones to mark as new (old.txt gets updated every time the app is run). You can create "notes.txt" to add a note section. New guesses should be placed in a file "input.txt", one per line, not case-sensitive and ignores leading / trailing whitespace, also ignores any koans that are already listed in old.txt. When the app is run (it will just pop up a console window that immediately closes, if all goes well), it will create (or modify) "output.txt" which creates the list of white and black koans, complete with BBCode formatting.
EDIT: Removed, as I'm home now. Please play fair, and if you used this to make guesses, share the outcome. ;)
Any further guesses? (This isn't some ridiculously over-complex rule. I kinda realised looking at the trivia topic that some of my past ones were excessive. This is not like that.)
I have ideas. I will play within the week.
Your koan formatter produces trailing whitespace at the end of lines. Those spaces are unbreakable and unremovable because they're in the tt tag. They linebreak the list for me, which makes the list hard to read. Please trim those spaces!
-- Simon
Quote from: namida on November 12, 2024, 11:21:26 AMAny further guesses?
I've taken a good look at this (I wanted to have the next game, so I was particularly motivated to figure this one out) and haven't been able to find any discernible patterns in either list that don't also appear in the other.
I could probably do with a hint at this point, but maybe wait to see what Simon's next contribution is first.
ATT
TTA
TTAA
TTAB
White Koans
ASSASSIN KARAT POTARO
ASSASSINATION KOTOR POTATO
ASSO KSSKSSINKTION POTOR
* ATT MOTOR RACECARRACECARRACECARA
ATTO NAMIDA STATISTIC
BTTBTTJOBUJPO NOTOR TAXA
CARAT ORBROWSERT TORBROWSER
DANAMI PATAR ZRACECARRACECARRACECARX
Black Koans
A COLA RAPTOR
AA DANAMID ROT
AAA EDIBLE ROTATE
AAAA EDIBLEASSIGNABLELEMMING ROTOR
AAAAA EPOTATOE RPOTO
ALIEN GEOO RTORBROWSER
AMIDAN ICHOTOLOT SAAS
ANAMID IDANAN SASS
APOTATOA KAYWHYN SIMON
ARACECARARACECARARACECAR KITTEN SSSS
ARACECARRACECARRACECAR KITTENS STATS
ASSA KOALA TAT
ASSASSINATIONBAR LEMMING TATA
ASSASSINATIONBRA MIDANA TATISTICS
ASSIGNABLE MITTEN TATO
ASSIGNABLELEMMING MITTENS TEUR
ASSIGNABLELIX NATION TOMATO
ATLA OATOR TOR
ATLO OOTOR TORBROWSERT
ATORBROWSERA OPOTATO TOROT
ATTA OR TOTOR
BAAB OTATO * TTA
BABB P * TTAA
BBBB PATOR * TTAB
BOOBS PEPSI WILLLEM
BPOTATOB PORTABLE XNAMIDAX
BROCCOLI POT XPOTATOX
BTORBROWSERB POTAPA ZAAZ
CAR POTAR ZAZZ
CARROT POTATA ZBBZ
CART POTATOP ZBZZ
CHICKEN PROXIMA ZZZZ
Other notes
All koans that consist of a single letter, repeated between 1 and 5 times (inclusive), are black.
A koan has the Buddha-nature if its second letter appears more often than its first letter does.
Yep, that's it! Well done.
(I considered whether to make it "second unique letter", or just "if the first two letters are the same, then the koan does not have the Buddha-nature because the first and second letter appear equal number of times". I went with the latter for simplicity; as the former would likely just result in someone guessing the latter, and the counterexample immediately giving away the actual rule, thus essentially just meaning whoever is quickest to post after that would steal the win.)
Nice, a straightforward rule, no strange groupings of letters. Completely different from what I wanted to investigate (distribution of vovel clusters among consonant clusters).
You've fixed the linebreaking, thanks!
-- Simon
I'll pass it over to WillLem.
Good rule, that one. Very difficult to spot, but simple enough in principle.
Quote from: Proxima on November 12, 2024, 08:49:49 PMI'll pass it over to WillLem.
That's kind of you, thanks. But you go ahead, you've earned it!
Is there any list of rules that have already been played? I have an idea but I don't really want to repeat something that's similar to a rule already played. (Although one could argue that not having such a list would make it easier to play "repeat" rules, since they're more likely to be forgotten if not able to be looked up.)
List of rules already played (https://www.lemmingsforums.net/index.php?msg=104032)
I'll link this from the OP.
-- Simon
OK, Proxima has confirmed that he's still happy for me to take the next round, so here it is. Should be an easy one:
White Koan
JOY
Black Koan
SWIM
SOY
SWY
SWI
OY
Y
JO
J
-- Simon
JOYJOY
JOYSWIM
SWIMJOY
SWIMSWIM
CAKE
COOKIE
CHOCOLATE
VANILLA
MUFFIN
JWIM
SOY
SWIT
JOM
White Koans
JOY
SOY
CAKE
COOKIE
CHOCOLATE
VANILLA
MUFFIN
Black Koans
SWIM
SWY
SWI
OY
Y
J
JO
JOYJOY
JOYSWIM
SWIMJOY
SWIMSWIM
JWIM
SWIT
JOM
(I'll take a look at the auto-formatter soon)
SOY is on both lists.
JJ
JJJ
O
Quote from: Simon on November 04, 2024, 09:36:20 PMRun it from a console without arguments
Not sure how to do this, so I'm using namida's GUI-based tool for now.
@namida - Do you have the source for your KoanTool? I'll have a go at adding asterisk-placing logic for new koans.
Quote from: Proxima on November 15, 2024, 02:07:44 PMSOY is on both lists.
Fixed, it's white. Here's the updated list:
White KoansCAKE COOKIE MUFFIN VANILLA
CHOCOLATE JOY SOY Black KoansJ JOM O SWIMSWIM
JJ JOYJOY OY SWIT
JJJ JOYSWIM SWI SWY
JO JWIM SWIMJOY Y
Quote from: WillLem on November 15, 2024, 03:08:40 PMQuote from: Simon on November 04, 2024, 09:36:20 PMRun it from a console without arguments
Not sure how to do this
Create a batch file (right-click, new text file, rename later to
runme.bat) in the same directory where
zendofmt.exe and
koans-w.txt and
koans-b.txt sit.
Write into it:
.\zendofmt.exe > formatted.txtDouble-click the batch file.
-- Simon
Quote from: Simon on November 15, 2024, 04:55:22 PM(Instructions)
-- Simon
Thanks! :thumbsup:
Tested working, but I'll keep the above table as the most recent one for now rather than reposting the same data.
OJ
YO
YOJ
White koans:
CAKE
CHOCOLATE
COOKIE
JO
JOY
MUFFIN
SOY
VANILLA
Black koans:
J OY
JJ SWI
JJJ SWIM
JO SWIMJOY
JOM SWIMSWIM
JOYJOY SWIT
JOYSWIM SWY
JWIM Y
O * YO
* OJ * YOJ
ANGELS
ENGULFED
EAST
SUMMER
SWUM
CEKA
ACEK
EACK
-- Simon
C
CH
CHO
CHOC
CHOCO
CHOCOL
CHOCOLA
CHOCOLAT
SO
YOY
AOY
EOY
IOY
OOY
UOY
Quote from: WillLem on November 15, 2024, 03:08:40 PMQuote from: Simon on November 04, 2024, 09:36:20 PMRun it from a console without arguments
Not sure how to do this, so I'm using namida's GUI-based tool for now.
@namida - Do you have the source for your KoanTool? I'll have a go at adding asterisk-placing logic for new koans.
I don't even have the
binary anymore for my old one, but here's the one I was using in the previous round (which already has the asterisk-placing). Compile with Visual Studio. Modify the CheckKoan function to implement your rule - it should return TRUE if the koan is white, FALSE if it's black. If your rule is quite complex, make sure you've thought about edge cases (even in my previous round with a relatively simple rule for example, I had to consider the case of single-letter koans, which don't
have a second letter to count) - I'm sure you're well and truly experienced enough with coding by now to handle this.
Usage (all files mentioned should be in the same folder as the compiled EXE):
1. Put all new koans (ie: should be marked with a *) in "input.txt", one per line. Order and case don't matter and duplicates will be automatically filtered out, as will any spaces before or after the koan.
2. Put all old koans (ie: should be on the list but NOT marked with *) in "old.txt". Again, order and case don't matter. If a koan is in both files, old.txt takes priority (so it won't be marked with a *).
3. If you want to add a notes section like I did near the end of my round regarding the string-of-single-letter koans, put it in "notes.txt".
4. Run the EXE (no fancy stuff needed). You'll see a command prompt window for a split second then it'll close.
5. Check "output.txt" for the output. Note that when you run the EXE, it also updates "old.txt" to add all the new koans from "input.txt" to it. (So you should only ever need to modify old.txt if you're starting to use this tool mid-round. But it's good to know how in case an edge case comes up.)
(If you prefer to manually check the koans, this tool probably won't help you much, it's very much designed around the tool itself checking and doesn't have a way to manually specify if a koan is black or white. I do
very strongly recommend manually double-checking it until you're very confident that your code is correct for your rule.)
Quote from: namida on November 16, 2024, 06:07:54 AMhere's the one I was using in the previous round
Thanks for this, I'll take a look at it. Auto-checking the koans is pretty neat! Ideally, I'd like to create one that does everything in the GUI, like your previous one (I've attached the binary to this post) rather than using separate .txt files to input and output everything.
In the meantime, I'll continue to use Simon's for now since I've already started this round with that one.
White koans:
* ANGELS
CAKE
CHOCOLATE
COOKIE
* EAST
JOY
MUFFIN
SOY
* SUMMER
VANILLA
Black koans:
* ACEK * CHOCOLAT JOYJOY SWIMJOY
* AOY * EACK JOYSWIM SWIMSWIM
* C * ENGULFED JWIM SWIT
* CEKA * EOY O * SWUM
* CH * IOY OJ SWY
* CHO J * OOY * UOY
* CHOC JJ OY Y
* CHOCO JJJ * SO YO
* CHOCOL JO SWI YOJ
* CHOCOLA JOM SWIM * YOY
Quote from: WillLem on November 16, 2024, 08:02:55 AMThanks for this, I'll take a look at it. Auto-checking the koans is pretty neat! Ideally, I'd like to create one that does everything in the GUI, like your previous one (I've attached the binary to this post) rather than using separate .txt files to input and output everything.
Yeah, GUI would be nicer, but I basically hacked this tool together in like 5 minutes. :P GUI's take much longer than that.
(EDIT: Removed rule guess as I noticed black koans that contradict it.)
Quote from: namida on November 16, 2024, 08:14:04 AMYeah, GUI would be nicer, but ... take much longer
Wierdly, I find it much easier to work on something if it has a GUI than if it doesn't. For all the tools I've made so far, I've designed them GUI-first and implemented the logic from there, obviously going back to tweak the GUI if other features are needed.
Same goes for if I've added something new (e.g. to the Editor), like a button or whatever; I always put the button in first, then double-click it to auto-generate its event handler.
One thing I've had to be careful of with that approach, though, is coding logic to (e.g.) a button press that also needs to be used somewhere else; I've learned it's better to have the method be a separate thing, then call that method
from the event handler (as opposed to calling the button's event handler from elsewhere).
Anyways, back to Zendo... here's the list again so it's on this page:
White koans:
* ANGELS
CAKE
CHOCOLATE
COOKIE
* EAST
JOY
MUFFIN
SOY
* SUMMER
VANILLA
Black koans:
* ACEK * CHOCOLAT JOYJOY SWIMJOY
* AOY * EACK JOYSWIM SWIMSWIM
* C * ENGULFED JWIM SWIT
* CEKA * EOY O * SWUM
* CH * IOY OJ SWY
* CHO J * OOY * UOY
* CHOC JJ OY Y
* CHOCO JJJ * SO YO
* CHOCOL * JO SWI YOJ
* CHOCOLA JOM SWIM * YOY
I'll just shoot a wild guess: AKHTBN iff it is an English noun.
Quote from: Ramon on November 16, 2024, 04:15:33 PMI'll just shoot a wild guess: AKHTBN iff it is an English noun.
Correct! :thumbsup:
Wow awesome :lix-evil: that is in fact a simple rule that I'm surprised hasn't been used before in a similar way.
I do have an idea but it's like 2:30am and I need to sleep but I'll think of posting it tomorrow.
Alright I'm going to shamelessly steal your people's table formatting because I'm pretty sure I didn't get it to work around the last time :P
White koans:
* END
Black koans:
* START
DNE
NDE
EEE
EAGLE
STAR
FINISH
BEGIN
LEMMING
I'd love to use Simon's koan formatter but I am not versed in building repos
White koans:
* EEE
END
Black koans:
* BEGIN
* DNE
* EAGLE
* LEMMING
* FINISH
* NDE
* STAR
START
AKHTBN iff it begins with E.
I don't want to delete my message as it may cause the game to become too messy if I delete things but I just noticed Eagle is already black I'm blind sorry.
A koan has the Buddha-nature if it is three letters long and starts with E.
DDD
NNN
ENE
STA
Quote from: Ramon on November 17, 2024, 10:18:34 PMI'd love to use Simon's koan formatter but I am not versed in building repos
I've now uploaded Windows and Linux executables (https://github.com/SimonN/zendofmt/releases). If you prefer to build it yourself nonetheless, let me know where you get stuck.
-- Simon
Thanks! It worked like a charm.
Since one of Simon's guesses (NNN) disproves Proxima's guess of the rule, I didn't add a counterexample.
White koans:
EEE
END
* ENE
* NNN
Black koans:
BEGIN
* DDD
DNE
EAGLE
FINISH
LEMMING
NDE
* STA
STAR
START
ENN
NEE
NEN
Quote from: Ramon on November 18, 2024, 07:06:16 PMSince one of Simon's guesses (NNN) disproves Proxima's guess of the rule, I didn't add a counterexample.
None disproved Proxmia's guess at the time of posting though, so it's still in the rules you need to provide a counter-example.
AKHTBN iff it is three letters long, and starts with the fifth to the fourteenth letter of the alphabet.
Quote from: Silken Healer on November 18, 2024, 08:05:57 PMNone disproved Proxima's guess at the time of posting though, so it's still in the rules you need to provide a counter-example.
No, it isn't. NNN is a valid counterexample to my rule guess.
You're both right. Yes, Ramond has to provide a counterexample, and he chose NNN, which is a valid counterexample. I wanted to test NNN anyway, but there's no rule that prevents Ramond from looking at future posts. He could have chosen something else to help us more, but it's still early in the round and he wants to give as little away as possible.
CD
CED
CH
E
HHH
I
U
EXD
-- Simon
Quote from: Silken Healer on November 18, 2024, 08:05:57 PMNone disproved Proxmia's guess at the time of posting though, so it's still in the rules you need to provide a counter-example.
Since there's an actual turn order in live Zendo but playing by forum allows multiple guesses in one go before marking koans, I just resolved the guesses in my own particular order. We could add a "turn order" rule if you like.
Once again with the new batch of guesses there exist counterexamples to the last rule guess (and even before that the koan NDE is a counterexample).
White koans:
* E * HHH
EEE * I
END * NEE
ENE * NEN
* ENN NNN
* EXD * U
Black koans:
BEGIN FINISH
* CD LEMMING
* CED NDE
* CH STA
DDD STAR
DNE START
EAGLE
CDE
N
NED
(https://media.geeksforgeeks.org/wp-content/uploads/Convex_hull_1.jpg)
This is about the shape of the letters.
AKHTBN iff (first shoving the letters together to remove the gaps between them, then taking the convex hull of the entire koan) is the same set as (first taking the convex hull of each letter individually, and only then shoving the hulls together to remove the gaps between them).
Examples:
- The convex hull of H is a filled rectangle. Three such filled rectangles next to each other can be shoved together to make a long rectangle, which is already convex and thus identical to the convex hull of HHH.
- All 26 single-letter koans will be white.
- You can insert EHEXIHHX in the center (but not necessarily at either end) of a white koan, keeping it white.
- The letters D and B can appear at the end, but not anywhere earlier.
- The letter C has a little dent in the top-right, which the convex hull of CH fills, therefore CH is black.
-- Simon
Wow, that's a really interesting guess Simon. But a counterexample is AAA which does not have matching sets as per your rule, but is marked white.
White koans:
* AAA I
E * N
EEE * NED
END NEE
ENE NEN
ENN NNN
EXD U
HHH
Black koans:
BEGIN EAGLE
CD FINISH
* CDE LEMMING
CED NDE
CH STA
DDD STAR
DNE START
E(*)D, where (*) represents each of the 26 letters of the alphabet (e.g. EAD, EBD, ECD, etc.).
EDIT: In addition, please test every letter of the alphabet individually (*), as a string of length 2 (**), as a string of length 3 (***), and as a string of length 4 (****).
Please by all means express the results of this guess as a statement rather than adding each string to the list of koans.
OQ
QO
WV
VYT
LEM
-- Simon
Quote from: WillLem on November 19, 2024, 06:27:10 PMEDIT: In addition, please test every letter of the alphabet individually (*), as a string of length 2 (**), as a string of length 3 (***), and as a string of length 4 (****).
Apart from the single letter koans, I don't think there is a general statement that can correctly mark all your wildcard guesses without listing them each individually, so please consider submitting only a smaller subset of guesses.
(Honestly I also feel like it's a bit of a dirty trick, since you could just submit those guesses at the beginning of every new rule without regard to the starting koans, which makes the early game kind of uninteresting and isn't usually possible in a live game of Zendo.)
White koans:
AAA NED
E NEE
EEE NEN
END NNN
ENE * OQ
ENN * QO
EXD U
HHH * VYT
I * WV
N
Black koans:
BEGIN FINISH
CD * LEM
CDE LEMMING
CED NDE
CH STA
DDD STAR
DNE START
EAGLE
All single letter koans are white.
E*D is white for: E H I K M N X Z
I think it would be good if we agreed on a rule in future to avoid wildcard guesses getting out of hand. I suggest:
On your turn, you may guess a wildcard pattern, such as X*A or ***E, which is understood as a set of 26 koan guesses, replacing all wildcards with each letter in turn (all wildcards must be replaced by the same letter). Only one wildcard pattern may be guessed at a time.
Quote from: Ramon on November 19, 2024, 07:51:17 PMApart from the single letter koans, I don't think there is a general statement that can correctly mark all your wildcard guesses without listing them each individually
The way you've done it above is fine. Example:
(*) is white for: (list of letters)
(**) is white for: (list of letters)
(***) etc.
Quote from: Ramon on November 19, 2024, 07:51:17 PMI also feel like it's a bit of a dirty trick, since you could just submit those guesses at the beginning of every new rule without regard to the starting koans, which makes the early game kind of uninteresting
As soon as strings like "EEE" and "NNN" are assigned a white koan, the logical next step is to guess the other letters of the alphabet in the same pattern. I probably wouldn't arbitrarily guess (*), (**), (***), etc unless "EEE", "NNN" or any other such string had first been guessed and assigned*.
Besides, if players guess "AAA, BBB, CCC, DDD, EEE..." individually across several posts, I'm fairly sure that won't make the early game any more interesting for either the player or the rulemaster! ;P
*
EDIT: My first set of guesses was mostly full words, but only "EEE" gained a white koan. The full-alphabet guesses then seemed appropriate and necessary.Quote from: Ramon on November 19, 2024, 07:51:17 PMand isn't usually possible in a live game of Zendo.
OK, but we aren't playing a live game of Zendo. The format means that players might only be able to post one set of guesses per day, so the tendency is to want to optimize guesses.
The above guesses are intended to determine if any letter allows a string of (< 3), and which letters are
not allowed in a string of (< 3). Of course, some letters may be allowed in the presence of other letters, but not by themselves. Hopefully my guess also turns up a few of those as well.
To be fair, I should probably have explained that so the guesses didn't seem perhaps so arbitrary.
Quote from: Proxima on November 19, 2024, 08:26:55 PMOn your turn, you may guess a wildcard pattern, such as X*A or ***E, which is understood as a set of 26 koan guesses, replacing all wildcards with each letter in turn (all wildcards must be replaced by the same letter). Only one wildcard pattern may be guessed at a time.
Fair enough, this is a good idea. One question that occurs, though: what determines a "turn"? Another user posting guesses after you? The rulemaster posting a reply to your initial guess?
Quote from: WillLem on November 19, 2024, 10:13:44 PMThe way you've done it above is fine. Example:
(*) is white for: (list of letters)
(**) is white for: (list of letters)
(***) etc.
(*) was pretty simple to mark,
but everything above wasn't feasible for this particular round. Those are 676 guesses for (**) alone, and if roughly half of them are white without an easily explainable pattern, that still leaves over 300 koans to be manually marked or entered.BUT in hindsight, reading your previous post again I realize I misunderstood what exactly you were guessing. I interpreted it as having each wildcard icon go through each letter individually, not just the same letter up to length 4. I will include those in the general patterns below the koans.
Quote from: WillLem on November 19, 2024, 10:13:44 PMFair enough, this is a good idea. One question that occurs, though: what determines a "turn"? Another user posting guesses after you? The rulemaster posting a reply to your initial guess?
Personally I think a turn should be considered the time between two rulemaster markings (once you put in a set of guesses, you can't add any more until the rulemaster has marked your last guesses). I'd also advocate for a limit of guesses per turn, but that's probably a bit harder to justify and a matter of personal taste. In the end it's just for fun though so I don't mind.
White koans:
AAA NED
E NEE
EEE NEN
END NNN
ENE OQ
ENN QO
EXD U
HHH VYT
I WV
N
Black koans:
BEGIN FINISH
CD LEM
CDE LEMMING
CED NDE
CH STA
DDD STAR
DNE START
EAGLE
All single letter koans are white.
E*D is white for: E H I K M N X Z (and black for every other letter)
(**), (***) and (****) is black for: B D F J L P R (and white for every other letter)
I'd be reluctant to introduce a hard limit per day, or a hard limit between posts.
I see why you would want that though. It would lose some of the spirit if every game begun with:
foreach (1 ≤ len ≤ 10), foreach ('A' ≤ x ≤ 'Z'), test xxx...x of length len.
People haven't done it so far, therefore I'm hesitant to enforce anything.
I've tested one batch of 26 in Proxima's round, and even made the choice of batch dependant on single instances of the batch that I predicted. If you really want to enforce a limit, such prediction seems like the better way. But then you'll be hung if you see no pattern to predict, but know that you want the batch tested. I still advise against any kind of limit.
Another argument that's weakly against introducing a limit: I conjectured that all single-letter koans were going to be white in Ramond's round here even after Ramond broke my theory about convex hulls. But I wanted to keep that for myself. I wouldn't have mass-tested the singles.
-- Simon
MEL
AE
FJ
AJ
zendofmt should support a free-form notes section that gets printed below black and white lists. namida's tool supports that, and here we need it again.
-- Simon
I'm totally fine with no limits if nobody just abuses it (which nobody has done so far and I don't imagine anybody here would do so).
The example you mentioned is exactly what I am afraid of, because if each round of Zendo could start with such a general broad wildcard guess, why even keep the koan guessing part and not just have the Master auto-mark every koan up to a specific length, reducing the game just to guessing the rule? Purely hypothetically of course because that's way too many koans to list and read through manually and it kind of takes away the part where people "work towards" the rule by basing guesses off of existing marked koans.
When I first read WillLem's wildcard guesses, I interpreted them as Simon's example and it made me a bit uncomfortable due to the above reason, but realizing afterwards what the guess actually looked like, it definitely has justification coming from the flow of previous guesses and koans. Not that justification is required, but it makes for a slightly better game experience if guesses are made with a goal in mind and not just with a set of RNG letters.
White koans:
AAA N
E NED
EEE NEE
END NEN
ENE NNN
ENN OQ
EXD QO
HHH U
I VYT
* MEL WV
Black koans:
* AE EAGLE
* AJ FINISH
BEGIN * FJ
CD LEM
CDE LEMMING
CED NDE
CH STA
DDD STAR
DNE START
All single letter koans are white.
E*D is white for: E H I K M N X Z (and black for every other letter)
(**), (***) and (****) is black for: B D F J L P R (and white for every other letter)
AV
AW
DO
EUM
VW
WM
-- Simon
Quote from: Ramon on November 19, 2024, 11:24:43 PMit makes for a slightly better game experience if guesses are made with a goal in mind and not just with a set of RNG letters
I totally agree.
I'd say the main problem with the letter-based Zendo is that it doesn't preclude the use of strings such as "FFFFFFFXXXOZZAAA" and other nonsensical and random strings of letters.
A numerical game might be better suited to this format, or maybe add a rule to the letter-based game that all koans must be recognisable strings of letters.
Such a rule would remove the need for guesses such as "E*D where * is each of the 26 letters of the alphabet in turn".
But, it would also massively reduce the scope of the letter-based game.
Anyway, new guess for this round:
FFFFFFFXXXOZZAAA :lemcat:
Good guess!
Also with this post I am heading to bed so don't wait up :lemming: :8:()[:
White koans:
AAA HHH OQ
* DO I QO
E MEL U
EEE N * VW
END NED VYT
ENE NEE WV
ENN NEN
EXD NNN
Black koans:
AE CH LEM
AJ DDD LEMMING
* AV DNE NDE
* AW EAGLE STA
BEGIN * EUM STAR
CD * FFFFFFFXXXOZZAAA START
CDE FINISH * WM
CED FJ
All single letter koans are white.
E*D is white for: E H I K M N X Z (and black for every other letter)
(**), (***) and (****) is black for: B D F J L P R (and white for every other letter)
Consider the rectangular bounding box of each uppercase letter. The bounding box's bottom side is flush with the horizontal floor line on which all letters sit. We'll look at which of the four corners of the bounding box are reached by the letter's shape.
Examples: The letters
H,
X,
M all touch all four corners of their individual bounding boxes. The letter
A touches only the two lower corners of its bounding box, not the two upper ones. The letter
R touches three corners (all except top right). The letter
J touches only the top right corner. Some particularly round letters
S,
C,
O touch no corners at all.
Q is a fickle case. I interpret it as touching
no corners. Maybe it touches the bottom right corner in some fonts; it doesn't in mine.
The rule is that neighboring letters "agree" on the corners:
AKHTBN iff, for every possible pair of neighboring letters (one letter immediately following another) inside the koan, both of the following conditions hold.
- The left neighbor touches the top right corner of its own bounding box iff the right neighbor touches the top left corner of its own bounding box.
- The left neighbor touches the bottom right corner of its own bounding box iff the right neighbor touches the bottom left corner of its own bounding box.
-- Simon
zendofmt 1.1.0 (https://github.com/SimonN/zendofmt/releases) is out with support for footer text.
How it works: Optionally, create a third file footer.txt with free-form text that will appear below the two koan lists. Backticks ` in footer.txt will appear as [tt] and [/tt] alternately. Linebreaks will appear as-is.
Love how there are 3 tools now in active development alongside the running games.
-- Simon
Quote from: Simon on November 20, 2024, 12:11:46 AMThe rule is that neighboring letters "agree" on the corners:
AKHTBN iff, for every possible pair of neighboring letters (one letter immediately following another) inside the koan, both of the following conditions hold.
- The left neighbor touches the top right corner of its own bounding box iff the right neighbor touches the top left corner of its own bounding box.
- The left neighbor touches the bottom right corner of its own bounding box iff the right neighbor touches the bottom left corner of its own bounding box.
This is exactly correct.
I wasn't very sure on picking this rule because I did not have a good way to formulate the rule in my mind at that point. Furthermore one could argue that whether a letter touches a corner or not is not exactly standardized and dependent on the font used. Decided to roll with it anyway, because as we know, if there is ambiguity about details, the master is always right (and I chose for Q not to be touching the bottom right corner).
After seeing Simon's first rule guess I kinda wish I had chosen that one because it feels very elegant.
Thanks!
As elegant as the convex hull idea may sound, I think you played the more interesting round, at only the cost of a difficult-to-word guess. Your rule produces more variety in the white set. For the convex hull idea, all inner letters (= all except the first and the last) would have to be four-corner-touching letters. This will boil down to identifying 3 classes of letters: (1) the blocky letters that touch all four corners, which are the letters allowed everywhere in the koan, (2) additionally allowed first letters, (3) additionally allowed last letters.
I'll write a longer post about ambiguities, but that's for a different thread. Both of the recent rules (English nouns, and corner agreement) are interesting to study in light of ambiguities. I'm also surprised how quickly both got solved.
In the meantime ...
Next round
White koan: WRONG
Black koan: INCORRECT
-- Simon
I respect it's up to Simon, but in my opinion all this talk about adding a turn system and guesses having a goal in mind is the anthesis of the spirit of forum Zendo that it's up to the person who makes the rule to want to provide a fun expirence and not be too frustrating. As long as people are playing in this spirit then I don't think there's anything wrong. Besides, the "purpose" of a guess can mean multiple things and not be a set-in-stone objective thing and people can have multiple leads in their short-term memoyry in the mind.
Anyway, for Simon's next round, I'm going to guess AKHTBN iff it's a homophone.
Yes, I agree.
The counterexample is EIGHT, which is a homophone of "ate", but it's black.
White koans:
WRONG
Black koans:
* EIGHT
INCORRECT
-- Simon
ZERO
ONE
TWO
THREE
FOUR
FIVE
SIX
SEVEN
EIGHT
NINE
TEN
RIGHT
CORRECT
Don't want to edit my post as editing messages in Zendo seems like a recepie for things to get messy fast but EIGHT was already marked black in https://www.lemmingsforums.net/index.php?topic=1849.msg104391#msg104391 so you don't need to re-mark EIGHT as black or white again.
Well, you found one. :8():
White koans:
* ONE
WRONG
Black koans:
* CORRECT * SEVEN
EIGHT * SIX
* FIVE * TEN
* FOUR * THREE
INCORRECT * TWO
* NINE * ZERO
* RIGHT
-- Simon
CLAM
FROG
LIX
Quote from: Silken Healer on November 20, 2024, 04:10:03 PMI respect it's up to Simon, but in my opinion all this talk about adding a turn system
There is already a "turn system", and the only suggestion was to limit the number of guesses per turn, as I felt that WillLem's guess of four wildcard templates at once (104 koans total) was excessive.
Quoteand guesses having a goal in mind
I assume you mean Ramon's post #840, but again you are stripping away the context: Ramon said that he misinterpreted WillLem's guess as being "I guess all koans up to 4 letters", and was explaining why he disagreed with making such a guess. No-one has argued for "guesses must have a goal in mind" to be an explicit rule, which would drain the fun out of the game as well as being nearly impossible to enforce.
* * *
CORRE
GNORW
LEFT
White koans:
* GNORW
ONE
WRONG
Black koans:
* CLAM * LIX
* CORRE NINE
CORRECT RIGHT
EIGHT SEVEN
FIVE SIX
FOUR TEN
* FROG THREE
INCORRECT TWO
* LEFT ZERO
-- Simon
A koan has the Buddha-nature if its letters are in either alphabetical order or reverse alphabetical order.
You are englightened! Congrats, that was quick.
-- Simon
Quote from: Proxima on November 20, 2024, 04:33:43 PMQuote from: Silken Healer on November 20, 2024, 04:10:03 PMI respect it's up to Simon, but in my opinion all this talk about adding a turn system
There is already a "turn system", and the only suggestion was to limit the number of guesses per turn, as I felt that WillLem's guess of four wildcard templates at once (104 koans total) was excessive.
Quoteand guesses having a goal in mind
I assume you mean Ramon's post #840, but again you are stripping away the context: Ramon said that he misinterpreted WillLem's guess as being "I guess all koans up to 4 letters", and was explaining why he disagreed with making such a guess. No-one has argued for "guesses must have a goal in mind" to be an explicit rule, which would drain the fun out of the game as well as being nearly impossible to enforce.
* * *
CORRE
GNORW
LEFT
:sorry:
zendofmt 1.2.0 is out (https://github.com/SimonN/zendofmt/releases) (how to use (https://www.lemmingsforums.net/index.php?msg=104287)), it fixes the following two bugs:
- Silken re-asked EIGHT and it showed twice in the output. Now it shows only once. Still, we give it an asterisk again if it's a recent re-guess.
- The free-form text from footer.txt appeared under the koan lists separated by two empty lines from the koan lists. Now it's separated by only one empty line.
Silken, no worries!
-- Simon
Quote from: Proxima on November 20, 2024, 04:48:46 PMA koan has the Buddha-nature if its letters are in either alphabetical order or reverse alphabetical order.
I awarded Proxima the win here. In the tabletop game with limited guessing stones, I would have asked back to clarify: What happens with equal-weight elements in the range-to-be-sorted? I.e., would Proxima mark
AAABCC white or black, given that he marks
ABC white and
ACA black? (
AAABCC would have been white, but nobody except me knew.)
In the forum game here, we have unlimited guesses, and the possible alternatives (either repeats are allowed, or they aren't) are completely clear to everybody the moment I ask for clarification. That's why I cut short this obvious endgame here.
-- Simon
Yeah, no worries, I'm not upset or anything, just didn't want my earlier words to be taken wrongly.
New round!
White koans:
NORTH
Black koans:
SOUTH
WEST
EAST
Both black.
NO
SO
ORTH
OUTH
OTH
-- Simon
White koans:
NO
NORTH
ORTH
Black koans:
EAST
SO
SOUTH
OTH
OUTH
WEST
AC
AD
AG
OR
-- Simon
White koans:
NO
NORTH
OR
ORTH
Black koans:
AC
AD
AG
EAST
SO
SOUTH
OTH
OUTH
WEST
RO
SORTH
SOURTH
-- Simon
All white.
OO
RR
MO
OS
ONO
-- Simon
AKHTBN iff it contains the letter "r"
Quote from: Silken Healer on November 20, 2024, 09:11:39 PMAKHTBN iff it contains the letter "r"
INVALID GUESS[2024-11-20 21:35:04] <@SimonN> SilkenHealer_: AKHTBN iff it contains the letter "r": Existing example NO is white.
:sorry:
White koans:
NO
NORTH
ONO
OR
ORTH
RO
RR
SORTH
SOURTH
Black koans:
AC
AD
AG
EAST
MO
OO
OS
SO
SOUTH
OTH
OUTH
WEST
R
O
AR
AO
CEFGHIJKLM
-- Simon
White koans:
AR
NO
NORTH
ONO
OR
ORTH
R
RO
RR
SORTH
SOURTH
Black koans:
AC OTH
AD OUTH
AG SO
AO SOUTH
CEFGHIJKLM WEST
EAST
MO
O
OO
OS
AKHTBN iff it contains at least one R or at least one N (or both).
BDP
QVW
XYZ
-- Simon
You accidentally counterexampled yourself :P
White koans:
AR SORTH
NO SOURTH
NORTH
ONO
OR
ORTH
QVW
R
RO
RR
Black koans:
AC OS
AD OTH
AG OUTH
AO SO
BDP SOUTH
CEFGHIJKLM WEST
EAST XYZ
MO
O
OO
AKHTBN iff it contains an R or a letter at ±4 from R (which are N and V).
This would be the only pattern I see. Everything else is an arbitrary set of letters that doesn't seem to make nice words, or be at nice distances from each other. If that's not the solution: Test the following three ...
V
Q
W
... and then guess: AKHTBN iff it contains at least one of: R, N, or a white one of those three (Q, V, W).
-- Simon
Added the counterexample ZONE.
White koans:
AR RR
NO SORTH
NORTH SOURTH
ONO
OR
ORTH
Q
QVW
R
RO
Black koans:
AC OS
AD OTH
AG OUTH
AO SO
BDP SOUTH
CEFGHIJKLM V
EAST W
MO WEST
O XYZ
OO ZONE
The outermost peel of the onion has come off.
NE
ZN
ZNE
ZONNE
-- Simon
Quote from: Proxima on November 21, 2024, 03:56:53 AMWhite koans:
AR RR
NO SOUTH
[...]
SOUTH is suddenly white here. It's still correctly black, too.
SORTH is the missing white koan.
-- Simon
Thanks, fixed.
White koans:
AR RO
NE RR
NO SORTH
NORTH SOURTH
ONO ZONNE
OR
ORTH
Q
QVW
R
Black koans:
AC OS ZNE
AD OTH ZONE
AG OUTH
AO SO
BDP SOUTH
CEFGHIJKLM V
EAST W
MO WEST
O XYZ
OO ZN
ZNNE
OW
WO
S
SOR
SORT
PAR
QUOTE
QUEST
QUIG
QUICK
-- Simon
White koans:
AR QUICK SOURTH
NE QUIG ZNNE
NO QUOTE ZONNE
NORTH QVW
ONO R
OR RO
ORTH RR
PAR SOR
Q SORT
QUEST SORTH
Black koans:
AC OS WO
AD OTH XYZ
AG OUTH ZN
AO OW ZNE
BDP S ZONE
CEFGHIJKLM SO
EAST SOUTH
MO V
O W
OO WEST
ACR
ADR
AGR
AOR
Z
ZR
ZNR
ZNER
OQ
OOQ
OQO
N
NN
AKHTBN iff
- it contains an R, or
- it contains a Q, or
- it contains more Ns than Zs.
Ah, and something cute:
AKHTBN iff it has more straight diagonal line segments with negative slope
\ than with positive slope
/. Equivalently, it has more appearances of
N,
Q,
R added together than appearances of
Z. All other letters either have no diagonals, or have both kinds of diagonals (
A) but in same amounts.
-- Simon
Quote from: Simon on November 21, 2024, 01:00:50 PMAKHTBN iff it has more straight diagonal line segments with negative slope \ than with positive slope /. Equivalently, it has more appearances of N, Q, R added together than appearances of Z. All other letters either have no diagonals, or have both kinds of diagonals (A) but in same amounts.
Correct and thank goodness, saves me from inserting a hefty bunch all at once! :thumbsup:
Thanks! Yeah, the guess felt exactly correct.
I think I'll pass the next round to Silken or Ramond. I don't have a good rule ready.
-- Simon
I'd have a new one but I'd let Silken host if they have a good idea!
I don't have any rule ideas and playing as the master seems like too much work, thanks anyway though
Alright then buckle up!
White koans:
* BUCKLE
Black koans:
* UP
BELT
DOWN
LEFT
RIGHT
BUBBLE
BUCK
UPWARD
White koans:
BUCKLE
* LEFT
* RIGHT
* UPWARD
Black koans:
* BELT
* BUBBLE
* BUCK
* DOWN
UP
BUA
BUB
BUC
BUD
BUE
BUI
BUO
BUU
BUY
BEFT
BLEFT
LELT
LEMMING
LEMMINGS
BUCKS
BUCKLES
EDIT: I realized I mismarked the koan BUCK, which is in fact black.
White koans:
* BEFT
* BLEFT
BUCKLE
* BUCKLES
* BUI
* BUY
LEFT
RIGHT
UPWARD
Black koans:
BELT * BUE
* BUA * BUO
* BUB * BUU
BUBBLE DOWN
* BUC * LELT
* BUCK * LEMMING
* BUCKS * LEMMINGS
* BUD UP
BUH
BUJ
BUX
BUZ
White koans:
BEFT * BUJ
BLEFT BUY
BUCKLE LEFT
BUCKLES RIGHT
* BUH UPWARD
BUI
Black koans:
BELT BUO
BUA BUU
BUB * BUX
BUBBLE * BUZ
BUC DOWN
BUCK LELT
BUCKS LEMMING
BUD LEMMINGS
BUE UP
BLELT
BLEMMING
BUF
FEMMING
FLEMMING
White koans:
BEFT BUJ
BLEFT BUY
BUCKLE LEFT
BUCKLES RIGHT
BUH UPWARD
BUI
Black koans:
BELT BUCKS DOWN
* BLELT BUD * FEMMING
* BLEMMING BUE * FLEMMING
BUA * BUF LELT
BUB BUO LEMMING
BUBBLE BUU LEMMINGS
BUC BUX UP
BUCK BUZ
B
BB
BBB
BBBB
BELTF
BUG
LEMMINGF
White koans:
BEFT BUJ
* BELTF BUY
BLEFT LEFT
BUCKLE * LEMMINGF
BUCKLES RIGHT
BUH UPWARD
BUI
Black koans:
* B BUC BUZ
* BB BUCK DOWN
* BBB BUCKS FEMMING
* BBBB BUD FLEMMING
BELT BUE LELT
BLELT BUF LEMMING
BLEMMING * BUG LEMMINGS
BUA BUO UP
BUB BUU
BUBBLE BUX
AURA
OCEAN
FRUIT
LOVELY
SUPERB
Please also test (BU*) where * is each of the 26 letters of the alphabet. The result can be phrased as:
BU* is white for (list of letters).
Then, all such strings can be removed from the table where they appear individually.
White koans:
BEFT LEFT
BELTF LEMMINGF
BLEFT * LOVELY
BUCKLE RIGHT
BUCKLES * SUPERB
* FRUIT UPWARD
Black koans:
* AURA BUCKS
B DOWN
BB FEMMING
BBB FLEMMING
BBBB LELT
BELT LEMMING
BLELT LEMMINGS
BLEMMING * OCEAN
BUBBLE UP
BUCK
(BU*) is white for H I J Y (and black for every other letter)
Please test:
(*)
(**)
(***)
Where * is one of the 26 letters of the alphabet. Example:
A
AA
AAA
Please express as (for example):
(*) is white for (list of letters)
(**) is white for (list of letters)
(***) is white for (list of letters)
Thanks :lemcat:
White koans:
BEFT LEFT
BELTF LEMMINGF
BLEFT LOVELY
BUCKLE RIGHT
BUCKLES SUPERB
FRUIT UPWARD
Black koans:
AURA DOWN
BBBB FEMMING
BELT FLEMMING
BLELT LELT
BLEMMING LEMMING
BUBBLE LEMMINGS
BUCK OCEAN
BUCKS UP
(BU*) is white for H I J Y (and black for every other letter)
(*), (**) and (***) is black for all letters
This is a tough one. I'm ready for a hint if nobody else has any ideas/guesses.
Yes, very tricky. The main difficulty is that {H I J Y} do not seem a very natural set -- I can't find anything those four have in common that no other letters do, and it doesn't help to narrow down whether we should be looking at letter shapes, positions in the alphabet, some form of letters-to-numbers....
Let's try this.
BU
U* where * is each letter in turn
White koans:
BEFT LEFT
BELTF LEMMINGF
BLEFT LOVELY
BUCKLE RIGHT
BUCKLES SUPERB
FRUIT UPWARD
Black koans:
AURA DOWN
BBBB FEMMING
BELT FLEMMING
BLELT LELT
BLEMMING LEMMING
* BU LEMMINGS
BUBBLE OCEAN
BUCK UP
BUCKS
(U*) and (BU*) is white for H I J Y (and black for every other letter)
(*), (**) and (***) is black for all letters
EFT
EF
FT
UEUFUTU
-- Simon
White koans:
BEFT * FT
BELTF LEFT
BLEFT LEMMINGF
BUCKLE LOVELY
BUCKLES RIGHT
* EFT SUPERB
FRUIT UPWARD
Black koans:
AURA * EF
BBBB FEMMING
BELT FLEMMING
BLELT LELT
BLEMMING LEMMING
BU LEMMINGS
BUBBLE OCEAN
BUCK * UEUFUTU
BUCKS UP
DOWN
(U*) and (BU*) is white for H I J Y (and black for every other letter)
(*), (**) and (***) is black for all letters
UUUUEFT
RFUTI
LEMMBING
-- Simon
White koans:
BEFT LEFT
BELTF LEMMINGF
BLEFT LOVELY
BUCKLE * RFUTI
BUCKLES RIGHT
EFT SUPERB
FRUIT UPWARD
FT * UUUUEFT
Black koans:
AURA EF
BBBB FEMMING
BELT FLEMMING
BLELT LELT
BLEMMING * LEMMBING
BU LEMMING
BUBBLE LEMMINGS
BUCK OCEAN
BUCKS UEUFUTU
DOWN UP
(U*) and (BU*) is white for H I J Y (and black for every other letter)
(*), (**) and (***) is black for all letters
BT
EFH
LEL
Haha "LEMMBING" :crylaugh:
White koans:
BEFT LEFT
BELTF LEMMINGF
BLEFT LOVELY
BUCKLE RFUTI
BUCKLES RIGHT
EFT SUPERB
FRUIT UPWARD
FT UUUUEFT
Black koans:
AURA BUCK LELT
BBBB BUCKS LEMMBING
BELT DOWN LEMMING
BLELT EF LEMMINGS
BLEMMING * EFH OCEAN
* BT FEMMING UEUFUTU
BU FLEMMING UP
BUBBLE * LEL
(U*) and (BU*) is white for H I J Y (and black for every other letter)
(*), (**) and (***) is black for all letters
If I were to give a hint, what sort of hint would you prefer? Insightful koans or a nudge toward the rule itself (or the exclusion of rule aspects)?
Nudge towards the rule for me.
Maybe wait and see what others say as well; some players prefer to give it a bit longer before hints are involved.
Maybe an insightful koan or two for now, and a bigger hint later if that turns out not to be enough?
So I'm not actually sure how to give good koan examples without giving too much away, but here goes.
WE is white, and NO is black.
White koans:
BEFT LEMMINGF
BELTF LOVELY
BLEFT RFUTI
BUCKLE RIGHT
BUCKLES SUPERB
EFT UPWARD
FRUIT UUUUEFT
FT * WE
LEFT
Black koans:
AURA BUCK LELT
BBBB BUCKS LEMMBING
BELT DOWN LEMMING
BLELT EF LEMMINGS
BLEMMING EFH * NO
BT FEMMING OCEAN
BU FLEMMING UEUFUTU
BUBBLE LEL UP
(U*) and (BU*) is white for H I J Y (and black for every other letter)
(*), (**) and (***) is black for all letters
It seems to be something to do with letter pairings/alphabet position, but each time I think I've found something there's an existing koan that disproves it.
EW
FE
HU
ON
PU
TB
TF
UB
AB
BC
CD
DE
EF
FG
GH
HI
IJ
JK
KL
LM
MN
OP
PQ
QR
RS
ST
TU
UV
VW
WX
XY
XZ
White koans:
BEFT FRUIT * MN
BELTF FT * OP
BLEFT * GH RFUTI
BUCKLE * HU RIGHT
BUCKLES * IJ SUPERB
* CD * JK * TF
* DE * KL UPWARD
EFT LEFT UUUUEFT
* EW LEMMINGF WE
* FG LOVELY * XZ
Black koans:
* AB BUBBLE * HI * ON UEUFUTU
AURA BUCK LEL * PQ UP
BBBB BUCKS LELT * PU * UV
* BC DOWN LEMMBING * QR * VW
BELT * EF LEMMING * RS * WX
BLELT EFH LEMMINGS * ST * XY
BLEMMING * FE * LM * TB
BT FEMMING NO * TU
BU FLEMMING OCEAN * UB
(U*) and (BU*) is white for H I J Y (and black for every other letter)
(*), (**) and (***) is black for all letters
YZ
NOON
EON
WON
NOW
OWN
ALEMMING
HLEMMING
SLEMMING
Nice you managed to generate only black koans
White koans:
BEFT FRUIT MN
BELTF FT OP
BLEFT GH RFUTI
BUCKLE HU RIGHT
BUCKLES IJ SUPERB
CD JK TF
DE KL UPWARD
EFT LEFT UUUUEFT
EW LEMMINGF WE
FG LOVELY XZ
Black koans:
AB BU FEMMING LM QR UV
* ALEMMING BUBBLE FLEMMING NO RS VW
AURA BUCK HI * NOON * SLEMMING * WON
BBBB BUCKS * HLEMMING * NOW ST WX
BC DOWN LEL OCEAN TB XY
BELT EF LELT ON TU * YZ
BLELT EFH LEMMBING * OWN UB
BLEMMING * EON LEMMING PQ UEUFUTU
BT FE LEMMINGS PU UP
(U*) and (BU*) is white for H I J Y (and black for every other letter)
(*), (**) and (***) is black for all letters
This one is very hard and I'm getting nowhere. Maybe it's time for more of a hint :lix-cool:
+1 for a hint.
The rule does not involve letter shapes or numbers (that includes the ordering of letters within the alphabet) of any kind. There is an external schema concerning the alphabet you need to know though (and I'm pretty sure you do).
Lovely puzzle :forehead: A koan has the buddha-nature if it contains two letters, consecutive within the koan, that border each other on a QWERTY keyboard.
Ah, I thought it was something else (which I won't mention in case anyone uses it for a future rule), but a few koans didn't fit the pattern. Well spotted, Proxima!
Quote from: Proxima on November 30, 2024, 05:11:05 PMLovely puzzle :forehead: A koan has the buddha-nature if it contains two letters, consecutive within the koan, that border each other on a QWERTY keyboard.
Congrats! At first I was afraid it might be "too easy" (especially with all the koans testing each letter with a static neighbor), but as the general rule states, if the master thinks it's "too easy" then it's just right. Seems like it was way harder than I anticipated though!
Quote from: Ramon on November 30, 2024, 06:14:15 PMSeems like it was way harder than I anticipated though!
It's that old chestnut; easy when you know the answer! ;P
Next round!
White koans:
TAXING
Black koans:
MAYHEM
FUN
TRICKY
White koans:
TAXING
TRICKY
Black koans:
FUN
MAYHEM
AKHBN iff it begins with T
Counterexample: CRAZY has the Buddha-nature.
AKHTBN iff it's a Lemmings diffuclty level that isn't the first or the last one
Alas, TAME has the Buddha-nature too.
WILD
WICKED
HAVOC
LEMMING
White koans:
CRAZY
TAME
TAXING
TRICKY
Black koans:
FUN
HAVOC
LEMMING
MAYHEM
WICKED
WILD
AKHBN iff it begins with C or T
REPTON also has the Buddha-nature. :P
Hmm. OK then, we need to start ruling letters out.
(*)
(**)
(***)
Where * is each letter of the alphabet, so:
A
AA
AAA
Then the same for B, C, D, etc. This can be expressed as:
(*) is white for (letters)
(**) is white for (letters)
(***) is white for (letters)
Already? The round had just started :o But if you insist:
White koans:
CRAZY
REPTON
TAME
TAXING
TRICKY
Black koans:
FUN
HAVOC
LEMMING
MAYHEM
WICKED
WILD
(*) and (***) are white for {A C E G I K M O Q S U W Y}
(**) is white for all letters except those
Quote from: Proxima on November 30, 2024, 11:05:44 PMAlready? The round had just started
In fairness, that guess has shown that alternate alphabet letters is important, as is odd and even numbers of letters. It tends to give a lot of information in one go, so it actually makes sense to do it as soon as possible.
With that said, it hasn't revealed the rule so far in any round! ;P
OK then, here are some more interesting guesses:
CAT
RABBIT
OSTRICH
ALIEN
PACIFIC
INDIAN
ATLANTIC
ARCTIC
AKHTBN iff the first letter's place value in the alphabet is even if the word length is even and odd if the word length is odd
Yes, correct.
I just think it's not in the spirit of the game if you guess 78 koans at once in the very early stages when people are still making the first connections and spotting the first threads. Also, if this becomes the normal way people play, then a lot of potentially interesting rules can't be tried because they're vulnerable to this kind of attack.
I'll pass the next round on to whoever
Quote from: Proxima on December 01, 2024, 02:34:04 AMI just think it's not in the spirit of the game if you guess 78 koans at once in the very early stages when people are still making the first connections and spotting the first threads
Jeez, I can't even play Zendo without causing some sort of fuss :forehead:
<--- (N.B. This is meant as a light-hearted joke, I don't actually think this is true)OK, fair enough, let's agree not to allow those sorts of guesses any more. It hasn't really been an issue so far (Ramon's round went on for over a week despite several of those sorts of guesses!), but I can absolutely see how, in your round, that guessing tactic basically gave away the rule. In fairness to Silken though, he managed to spot the rule and I didn't.
I have a great idea for a rule, but I think Proxima should go again and this time let's agree first to only guess actual, fully-written-out koans as opposed to conceptual guesses such as those that generate multiple koans at once.
Quote from: WillLem on December 01, 2024, 03:31:52 AMJeez, I can't even play Zendo without causing some sort of fuss :forehead:
I think Proxima meant that he was concerned that wildcards weren't in the spirit of Zendo in general, not that he was upset over this spesific round. Please don't get into a quarrel :lix-sad:.
Quote from: WillLem on December 01, 2024, 03:31:52 AMOK, let's agree not to allow those sorts of guesses any more. It hasn't really been an issue so far (Ramon's round went on for over a week despite several of those sorts of guesses!), but I can absolutely see how, in your round, that guessing tactic basically gave away the rule.
I'd be very hesistant to outright ban any guesses, as it's subjective what a "in the spirit" and "isn't in the spirit" guess is. In theroy you could type out all the guesses by hand. And in theroy when people make a guess and they think they're on to something, they may make "permutation-esque" guesses around it e.g. replace one letter with all the vowels and/or some other letters, or shift the guess around one etc. So where do you draw the line? I think the goal of forum Zendo is to have a good puzzle and to have fun, not about winning or losing.
That being said I've never really thought about bothering to use those sorts of guesses when playing, and I can totally see how the wildcard guess can be percieved as not being in the spirit of the game. I'm just scared if the rule about what guesses are and aren't allowed has an element of subjectivity I'll accidently make a mistake and spoil the game and make everyone hate me.
Quote from: Silken Healer on December 01, 2024, 03:43:05 AMQuote from: WillLem on December 01, 2024, 03:31:52 AMJeez, I can't even play Zendo without causing some sort of fuss :forehead:
I think Proxima meant that he was concerned that wildcards weren't in the spirit of Zendo in general, not that he was upset over this spesific round. Please don't get into a quarrel :lix-sad:.
That comment was meant as a joke (I've edited the post to make that clear). Things like that don't always come across on the Forums. There's no quarrel, it's all good, we're all buddies! :lemcat:
HugsAnyway, I just felt a bit bad that Proxima was enjoying being rulemaster and it ended a bit quickly because my somewhat controversial guessing tactic pretty much gave away the rule. So, I think he should be given the opportunity to play as rulemaster again with the agreement that we won't make those sorts of guesses (at least for this round).
Going forward, we could agree that
it's always up to the rulemaster to accept or reject such guesses in their round. That way, we don't have to worry about lots of extra rules and it can just be... whatever the rulemaster is happy to accept.
Quote from: WillLem on December 01, 2024, 04:05:34 AMGoing forward, we could agree that it's always up to the rulemaster to accept or reject such guesses in their round. That way, we don't have to worry about lots of extra rules and it can just be... whatever the rulemaster is happy to accept.
Yes, the rulemaster being able to veto any guess on an individual basis seems like a good compromise.
I'm sorry. I didn't want to start an argument or anything.
WillLem, since Silken has passed it up it's your turn.
Quote from: Proxima on December 02, 2024, 01:07:40 PMI'm sorry. I didn't want to start an argument or anything.
No problem, it's all good :) it's been highlighted a couple of times recently that the rule master should be able to decline any guess they consider not to be in the spirit of the game, or at least ask the player to revise their guess. Maybe we can proceed with that in mind going forward.
@Simon - if people agree, maybe this could be added to the rules in the OP?
Anyways. New round, then! :lemcat:
Having The Buddha NatureNOT
Lacking The Buddha NatureKNOT
AKHTBN if each consonant is adjacent to at least one vowel!
KKNOT
NKOT
NOKT
NOTK
I think WillLem found a good and unintrusive wording: The rule master may decline koans (and, by extension, batch-tests of koans) for being too far away from the spirit of the game.
I'll sleep over it, and then add that to the game rules. Tabletop Zendo has a surprisingly similar clarification: The master may disallow a physical koan from being built if there is not enough space on the table for it.
A guiding light is that the players should be efficient. Tabletop Zendo entices efficiency with its turn order; your opponents get to take a turn every time after you do. If you want to test all 24 single-piece koans (4 colors, 3 sizes, and each either upright or flat), you'll need 24 turns, and the match will be over by then.
The alternative is to embrace early mass-testing. The master should provide not only the 2 starting koans, but also the 260 same-letter koans up to length 10, the remaining 650 two-letter koans xy, all 650 of the form xyyyyyyy for x ≠ y, and the remaining 300 possible koans of consecutive letters, e.g., KLMNOP. It's a different game. I wouldn't mind playing this, but that would need infrastructure. The forum thread itself would be the limitation here!
-- Simon
Quote from: Simon on December 02, 2024, 06:10:42 PMThe rule master may decline koans (and, by extension, batch-tests of koans) for being too far away from the spirit of the game.
I'll sleep over it, and then add that to the game rules.
Yes, we'll also likely get a sense of what's generally considered "in spirit" as we play more rounds with different rulemasters.
Quote from: Ramon on December 02, 2024, 05:29:35 PMAKHTBN if each consonant is adjacent to at least one vowel!
Alas, FLY contains no vowels and yet has the Buddha nature.
Having The Buddha NatureFLY
NOT
Lacking The Buddha NatureKNOT
KKNOT
NKOT
NOKT
NOTK
It's tempting to make the obvious guess, but let's try something less obvious....
A koan has the Buddha-nature if it contains at most two of the letters {A, K, H, T, B, N}.
Quote from: Proxima on December 02, 2024, 08:24:57 PMIt's tempting to make the obvious guess, but let's try something less obvious....
A koan has the Buddha-nature if it contains at most two of the letters {A, K, H, T, B, N}.
To choose a single counterexample from that group involving letters already in the white koans, NT does not have the Buddha nature.
Having The Buddha NatureFLY
NOT
Lacking The Buddha NatureKNOT
KKNOT
NKOT
NOKT
NOTK
NT
Out of interest, what was "the obvious guess" going to be? :P
AKHTBN iff it's a proper English word and if it's a homophone it's the shortest possible of all the words it could sound like
Quote from: WillLem on December 02, 2024, 08:55:27 PMOut of interest, what was "the obvious guess" going to be? :P
"A koan has the Buddha-nature if it does not contain K." Fortunately, your counterexample works equally well to disprove that.
NO
OT
TON
Quote from: Silken Healer on December 02, 2024, 09:08:48 PMAKHTBN iff it's a proper English word and if it's a homophone it's the shortest possible of all the words it could sound like
BOW is shorter than BOUGH, has no shorter homophone, is a proper English word, and does not have the Buddha nature.
Having The Buddha NatureFLY
NO
NOT
Lacking The Buddha NatureBOW
KNOT
KKNOT
NKOT
NOKT
NOTK
NT
OT
TON
FLEA
KOAN
ON
TO
WHITEKOAN
BLACKKOAN
AKOANHASTHEBUDDHANATURE
AKOANHASTHEBUDDAHNATUREIFF
AKOANHASTHEBUDDAHNATUREIFANDONLYIF
OHNO
HONO
PEAS
OHNOMORELEMMINGS
HONOMORELEMMINGS
ONOMATOPOEIA
N
Time for the Koan Formatter!
Having The Buddha Nature:
FLY
NO
NOT
ON
TO
Lacking The Buddha Nature:
AKOANHASTHEBUDDAHNATUREIFANDONLYIF KKNOT OHNO
AKOANHASTHEBUDDAHNATUREIFF KNOT OHNOMORELEMMINGS
AKOANHASTHEBUDDHANATURE N ONOMATOPOEIA
BLACKKOAN NKOT OT
BOW NOKT PEAS
HONO NOTK TON
HONOMORELEMMINGS NT WHITEKOAN
You missed FLEA.
COCKROACH
FLEE
SWIM
Attached a new Koan formatting tool with full UI, very similar to namida's:
(https://i.imgur.com/euwINWv.png)
The BBCode formatting works nicely but might need tightening up a bit, we'll see how it goes. It also only allows koans of up to 35 characters in length. In most cases, that should be fine. Anything longer than that can be manually added afterwards, if necessary.
Has The Buddha Nature
FLY
NO
NOT
ON
TO
Lacks The Buddha Nature
AKOANHASTHEBUDDAHNATUREIFANDONLYIF FLEE NOKT PEAS
AKOANHASTHEBUDDAHNATUREIFF HONO NOTK SWIM
AKOANHASTHEBUDDHANATURE HONOMORELEMMINGS NT TON
BLACKKOAN KKNOT OHNO WHITEKOAN
BOW KNOT OHNOMORELEMMINGS
COCKROACH N ONOMATOPOEIA
FLEA NKOT OT
Can you make it so it's not a tab intended table (doesn't display well on mobile) and the new koans are red?
FLING
MOON
WAYS
Quote from: Silken Healer on December 04, 2024, 01:14:35 AMCan you make it so it's not a tab intended table (doesn't display well on mobile) and the new koans are red?
It isn't tab indented. Whitespace characters are added to some koans to make them fit the column. The previous koan tools (Simon's and namida's) do exactly the same thing, I haven't changed the basic output formatting at all. I could probably harness BBCode's more advanced table formatting to produce a table that might look better on mobile. I'll give that a try tomorrow or later in the week.
One thing I definitely need to do which I forgot is to add an asterisk to newly-added koans. Next version will add this, for sure.
Not sure why they're appearing red for you. On both my Dell laptop and Apple phone they appear white on a dark green background.
Has The Buddha Nature
FLY
NO
NOT
ON
TO
Lacks The Buddha Nature
AKOANHASTHEBUDDAHNATUREIFANDONLYIF FLEE N ONOMATOPOEIA
AKOANHASTHEBUDDAHNATUREIFF *FLING NKOT OT
AKOANHASTHEBUDDHANATURE HONO NOKT PEAS
BLACKKOAN HONOMORELEMMINGS NOTK SWIM
BOW KKNOT NT TON
COCKROACH KNOT OHNO *WAYS
FLEA *MOON OHNOMORELEMMINGS WHITEKOAN
A koan has the Buddha-nature if it's a word contained in the title of a Lemmings level. (Specifically, Amiga/DOS L1; my last guesses were meant to probe whether ONML and other L1 versions were included or not.)
Quote from: Proxima on December 04, 2024, 10:55:00 AMA koan has the Buddha-nature if it's a word contained in the title of a Lemmings level. (Specifically, Amiga/DOS L1; my last guesses were meant to probe whether ONML and other L1 versions were included or not.)
You are enlightened! Out of interest, how did you get to the answer from what was there? I was beginning to get worried that the rule might be too difficult and that there weren't enough white koans, but... obviously not!
Well, it was easy to notice that all the white koans were English words, especially after your previous round, and FLY stood out from the others; at first I thought it would be a semantic rule, but trying other insects or other movement verbs led nowhere; then I was just looking at it and it clicked :P It helped, of course, that "If only they could fly" is one of the more memorable levels and level names from L1.
Quote from: WillLem on December 04, 2024, 03:25:34 AMNot sure why they're appearing red for you. On both my Dell laptop and Apple phone they appear white on a dark green background.
No, you misunderstood what I mean. I'm suggesting you make the new ones red as it highlights what ones are newer easier than an asterisk. They don't appear red for me at the moment.
Quote from: WillLem on December 04, 2024, 03:25:34 AMIt isn't tab indented. Whitespace characters are added to some koans to make them fit the column. The previous koan tools (Simon's and namida's) do exactly the same thing, I haven't changed the basic output formatting at all. I could probably harness BBCode's more advanced table formatting to produce a table that might look better on mobile. I'll give that a try tomorrow or later in the week.
Oh my mistake. I may have meant a certain thing through my head, and then articulated incorrectly through the English language. What I mean is how the Koan formatter currently shows them not all in one column, this makes them hard to read on mobile.
Anyway, we should do another round...
White koans:
CITADEL
Black koans:
CASTLE
CTAEL
CATLE
ADEL
-- Simon
Quote from: WillLemThe previous koan tools (Simon's and namida's) do exactly the same thing
Don't put spaces after the final koan of a row. They're nonbreakable inside tt tags.
Break the lines of the table earlier. You don't know how wide people's browser windows are. zendofmt linebreaks at 80 characters, which I like, and nobody has complained yet.
If we keep getting overly long koans that kill the table layout, we can start putting them outside the table. zendofmt has nothing for this yet.
-- Simon
White koans:
CITADEL
Black koans:
ADEL
CASTLE
CATLE
CTAEL
CENTURY
CIRCLE
CYCLE
GYM
GIGANTIC
GENERATION
White koans:
CITADEL
Black koans:
ADEL
CASTLE
CATLE
CENTURY
CIRCLE
CYCLE
CTAEL
GENERATION
GIGANTIC
GYM
CITA
CI
CL
LEDATIC
-- Simon
White koans:
CITADEL
Black koans:
ADEL GENERATION
CASTLE GIGANTIC
CATLE GYM
CENTURY LEDATIC
CIRCLE
CI
CITA
CL
CYCLE
CTAEL
C
I
ITADEL
CITADELL
CCITADEL
CITADELCITADEL
-- Simon
CASDLE
MNEMONIC
REST
-- Simon
White koans:
CITADEL
Black koans:
ADEL CITADELCITADEL LEDATIC
C CITADELL MNEMONIC
CASDLE CL REST
CASTLE CTAEL
CATLE CYCLE
CENTURY GENERATION
CCITADEL GIGANTIC
CIRCLE GYM
CI I
CITA ITADEL
AKHTBN iff it is exactly CITADEL.
-- Simon
That's correct :P Sorry for the troll round; once I had the idea I wanted to go with it to see how things would play out.
Did you feel sure it was right at this point or was this just probing for a more helpful koan?
I had given it 70 % to win outright, 20 % to see TOWN or similar sementaic-related white koan (WillLem had prodded in that direction but I had not), and 10 % to see semantically unrelated white koans for an obscure narrow letter-based rule (but it could hardly be anything).
After this many black koans, it's an important guess; others are likely to guess this otherwise.
I'll leave it for somebody else again to master next!
-- Simon
Incidentally, in case anyone wondered why I chose CITADEL as the word, WillLem's previous round made me think of the rule "AKHTBN if it's a Repton 3 level password", but I wouldn't expect anyone here to be familiar with those. so I chose just one :P
I think I would like a try at being rulemaster. After observing the last several rounds played in the last several weeks, I understand how the game works now. Lots of fun, and I still enjoy playing words/letters games even though I'm a math/science person :thumbsup:
White koans:
TELEPHONE
Black koans:
CELLPHONE
MOBILEPHONE
Quote from: kaywhyn on December 10, 2024, 08:29:17 AMI still enjoy playing words/letters games even though I'm a math/science person :thumbsup:
I know this is sort of a joke remark, I'd actually say Zendo is a lot more mathematics-like then it is word/letters-like. Zendo is as much like words/letters than Suduko is to do with maths. We could play with numbers, colours, etc. It's more about observing patterns, and having an intuition of what to do, which is used all the time in mathematics e.g. those trigonometry substitution questions.
Quote from: kaywhyn on December 10, 2024, 08:29:17 AMAfter observing the last several rounds played in the last several weeks, I understand how the game works now
There are also the instructions at the start of the thread, but I don't think those are very good. I just had to watch other people play too to understand.
CELL
PHONE
TELE
CALL
CITY
CALCULATOR
CIRCULAR
GIANT
GYM
GIRAFFE
GARGANTUAN
GOLF
All guesses are black :P
White koans:
TELEPHONE
Black koans:
* CALCULATOR * GIANT
* CALL * GIRAFFE
* CELL * GOLF
CELLPHONE * GYM
* CIRCULAR * MOBILEPHONE
* CITY * PHONE
* GARGANTUAN * TELE
CITADEL
TELEPHON
TELEPHONY
White koans:
TELEPHONE
Black koans:
CALCULATOR GIRAFFE
CALL GOLF
CELL GYM
CELLPHONE MOBILEPHONE
CIRCULAR PHONE
* CITADEL TELE
CITY * TELEPHON
GARGANTUAN * TELEPHONY
GIANT
Okay then, I guess that a koan has the Buddha-nature if it is TELEPHONE. 8-)
Heh, thought I would do the same as you did, eh? Nah, I'm afraid the secret rule is not as simple as just being the string TELEPHONE :P Nice guess, though! ;)
As a counterexample, STARFISH has the Buddha nature too
FISH
STAR
SWORDFISH
Quote from: Silken Healer on December 10, 2024, 11:55:01 AMThere are also the instructions at the start of the thread, but I don't think those are very good. I just had to watch other people play too to understand.
It lacks a section on how the round starts, and who is master and who is regular player.
Is the definition of koan problematic: Nonempty finite string over the alphabet A-Z? How to rephrase? Koans are words, but not necessarily correct English words?
I should add examples of koans and of rules.
What else is unclear/bad?
-- Simon
White koans:
* STARFISH
TELEPHONE
Black koans:
CALCULATOR GIRAFFE
CALL GOLF
CELL GYM
CELLPHONE MOBILEPHONE
CIRCULAR PHONE
CITADEL * STAR
CITY * SWORDFISH
* FISH TELE
GARGANTUAN TELEPHON
GIANT TELEPHONY
AKHTBN iff it's a portmanteau of 2 words, and the first letter of the first word (e.g. T for TELE, S for STAR) is alphabetically later than the second word (e.g. P for PHONE, F for FISH). And, the resulting string has to be an existing word in the English language (hence TELEPHONY not having the buddha nature).
EDIT: I posted this just after kaywhyn posted the most recent version of the table, in which SWORDFISH doesn't have the buddha nature and thus disproves this rule guess.
TARFISHS
ARFISHST
RFISHSTA
FISHSTAR
ISHSTARF
SHSTARFI
HSTARFIS
ELEPHONET
LEPHONETE
EPHONETEL
PHONETELE
HONETELEP
ONETELEPH
NETELEPHO
ETELEPHON
ARTSFISH
FARTSISH
White koans:
* ARFISHST * LEPHONETE
* ARTSFISH * NETELEPHO
* ELEPHONET * ONETELEPH
* EPHONETEL * PHONETELE
* ETELEPHON * RFISHSTA
* FARTSISH * SHSTARFI
* FISHSTAR STARFISH
* HONETELEP * TARFISHS
* HSTARFIS TELEPHONE
* ISHSTARF
Black koans:
CALCULATOR GIRAFFE
CALL GOLF
CELL GYM
CELLPHONE MOBILEPHONE
CIRCULAR PHONE
CITADEL STAR
CITY SWORDFISH
FISH TELE
GARGANTUAN TELEPHON
GIANT TELEPHONY
Don't forget to erase the asterisks -- they are meant to indicate koans that are new in each list compared to the previous one.
STARPHONE
TELEPHONDA
TELEPHONED
Thank you kindly. I got the asterisk thing backwards and for some reason thought Simon's tool wasn't working the way it should, when in fact it was :-[ Anyway, fixed all the tables in my posts and so they should be easier to read now in regards to what was added to the table since the post before it :P
For your recent three guesses, TELEPHONDA is white, while STARPHONE and TELEPHONED are both black ;)
White koans:
ARFISHST LEPHONETE
ARTSFISH NETELEPHO
ELEPHONET ONETELEPH
EPHONETEL PHONETELE
ETELEPHON RFISHSTA
FARTSISH SHSTARFI
FISHSTAR STARFISH
HONETELEP TARFISHS
HSTARFIS * TELEPHONDA
ISHSTARF TELEPHONE
Black koans:
CALCULATOR GARGANTUAN * STARPHONE
CALL GIANT SWORDFISH
CELL GIRAFFE TELE
CELLPHONE GOLF TELEPHON
CIRCULAR GYM * TELEPHONED
CITADEL MOBILEPHONE TELEPHONY
CITY PHONE
FISH STAR
Quote from: Simon on December 10, 2024, 11:54:02 PMQuote from: Silken Healer on December 10, 2024, 11:55:01 AMThere are also the instructions at the start of the thread, but I don't think those are very good. I just had to watch other people play too to understand.
It lacks a section on how the round starts, and who is master and who is regular player.
Is the definition of koan problematic: Nonempty finite string over the alphabet A-Z? How to rephrase? Koans are words, but not necessarily correct English words?
I should add examples of koans and of rules.
What else is unclear/bad?
-- Simon
I don't know I feel a bit guilty saying it's bad because you are so nice and do so much for the forum, I'm only saying it because you always say about how you expect people to silenty put up with stuff that annoys them and to not report it.
like for example the post uses "the buddah nature" without defining it so I didn't know it just meant the string passes the rule I thought it was something to do with the Buddhism religion LOL
I
J
T
White koans:
ARFISHST LEPHONETE
ARTSFISH NETELEPHO
ELEPHONET ONETELEPH
EPHONETEL PHONETELE
ETELEPHON RFISHSTA
FARTSISH SHSTARFI
FISHSTAR STARFISH
HONETELEP TARFISHS
HSTARFIS TELEPHONDA
ISHSTARF TELEPHONE
Black koans:
CALCULATOR GIANT STARPHONE
CALL GIRAFFE SWORDFISH
CELL GOLF * T
CELLPHONE GYM TELE
CIRCULAR * I TELEPHON
CITADEL * J TELEPHONED
CITY MOBILEPHONE TELEPHONY
FISH PHONE
GARGANTUAN STAR
FISHSWORD
W
A koan has the Buddha-nature if the sum of its alphabetic positions (A=1 B=2 etc) is 100.
Quote from: Proxima on December 11, 2024, 05:09:25 PMA koan has the Buddha-nature if the sum of its alphabetic positions (A=1 B=2 etc) is 100.
Correct! :thumbsup: Partly inspired by your Scrabble rule, but mostly from a Weekly Challenge class/homework assignment I remember back when I was in 6th grade Honors math class, where the challenge was to come up with words so that if you add the values of the position of each of the letters in the English alphabet of the word the sum is 100. I don't remember the exact number we needed to come up with anymore, but I believe to get an A on the assignment, we needed to come up with at least 5 or 7 words that add to 100.
When I was coming up with a white koan for this rule, it made me wish that I still had my list, because if you only allow English words, it's really difficult. Strings that aren't real words are much easier to come up with so they add up to 100. That being said, no single letter, two-letter string, or three-letter string can ever be white under this rule. Only certain 4-letter strings or longer can be white. Similarly, any permutation of a white koan will be white, and same thing with all permutations of a black koan will be black. I thought the rule would be quite clear from all the permutations WillLem listed, but I'm guessing you wanted to make sure of some guesses first before stating the rule.
Anyway, your turn!
Well done for your first game clever rule
Quote from: kaywhyn on December 11, 2024, 05:53:17 PMI thought the rule would be quite clear from all the permutations WillLem listed, but I'm guessing you wanted to make sure of some guesses first before stating the rule.
Will's guess revealed that all anagrams had the same status, but there are lots of rule types that fit that, so I put out some feelers in different directions, including replacing "E" with "DA" to see whether sum of alphabetic values was the key. That struck gold, and I noticed that
TELEPHONE and
STARFISH both summed to 100, but I had to run more tests to see whether the rule was "it has to be 100" or "it has to be square" or "it has to be a multiple of 10".
I'd rather someone else take a turn as I've had quite a few lately.
Quote from: Proxima on December 11, 2024, 06:11:51 PMWill's guess revealed that all anagrams had the same status, but there are lots of rule types that fit that, so I put out some feelers in different directions, including replacing "E" with "DA" to see whether sum of alphabetic values was the key. That struck gold, and I noticed that TELEPHONE and STARFISH both summed to 100, but I had to run more tests to see whether the rule was "it has to be 100" or "it has to be square" or "it has to be a multiple of 10".
Yea, fair point with WillLems' anagram guesses satisfying a bunch of other rules besides this one. Also, nice observation with replacing E with DA! ;)
I have another rule, but I'll wait for others to have their turn first :P
Let's go for a quick one then!
CASHMERE has the buddha nature.
SILK does not have the buddha nature.
CASH
MERE
SILKS
White koans:
CASHMERE
* MERE
* SILKS
Black koans:
* CASH
SILK
AKHTBN iff one of its letters appears at least twice in the full string
WOOL does not have the buddha nature.
White koans:
CASHMERE
MERE
SILKS
Black koans:
CASH
SILK
* WOOL
SILKA
SILKZ
CASHME
WOOLS
WOOLW
White koans:
CASHMERE
MERE
SILKS
* WOOLW
Black koans:
CASH
* CASHME
SILK
WOOL
* WOOLS
WOLO
WOOLO
WWOOL
Slightly disappointed that WOLOLO didn't make it into your guess list!
White koans:
CASHMERE
MERE
SILKS
* WOLO
* WOOLO
WOOLW
Black koans:
CASH
CASHME
SILK
WOOL
WOOLS
* WWOOL
AKHTBN iff there exists a letter such that the letter reappears one or more times after its first appearance, and at least one of its reappearances is not immediately next to its very first appearance (but possibly next to other appearances, e.g., AAA will be white).
-- Simon
I'm going to give you the enlightenment here, because shortly after the round started I realized that my intended rule could actually be massively simplified to a wholly different wording and it didn't actually produce very interesting white and black koans, making it substantially less fun to master.
I was thinking of: AKHTBN iff it contains a subsequence (minimum length 3) that is a palindrome.
Then too late I realized that is equivalent to something akin to your guess (it is sufficient for a koan to have the pattern ...x...y...x... anywhere in the koan), and while that is an okay rule, it strongly diverges from my original vision. Then I considered adjusting the rules to the effect that the letters of the subsequence each must be the same distance from each other, but that just feels like an arbitrary addition that could get frustrating.
But I did say I just wanted to make a quick one, so I'm not really bummed out :lix-tongue:
You can give the black counterexample ABCA.
But I agree that the round will be over quickly even then: If we re-guess with an exclusion for exactly 2 letters sandwiched, you'll give the white counterxample ABBA white. The worst is that we still won't see it, but we'll win by describing 3- and 4-length palindromes in a roundabout way. This is enough because n-palindromes contain an (n − 2)-palindrome.
It would have still taken work to drill through ABCDA, ABCABC, etc. I think somebody will find the description with palindromes before such drilling completes. It's not immediate even if we'll eventually describe it fully with with 3- and 4-palindromes only.
Thanks!
-- Simon
Quote from: Ramon on December 12, 2024, 07:54:13 PMSlightly disappointed that WOLOLO didn't make it into your guess list!
Oh yes! Best video game sound clip ever! :thumbsup: Admittedly, I thought it was YOLOLO but nah, that was me remembering wrong :-[
Quote from: Simon on December 12, 2024, 10:13:10 PMYou can give the black counterexample ABCA.
I don't quite follow. Under my rule, that would still be white (ABA and ACA are both palindromic subsequences).
But I mainly posted to give kaywhyn the green light for the second rule!
Ah, now I understand: Not a substring that is a (3-or-more)-palindrome, but a subsequence. You're allowed to skip the C in ABCA and have the subsequence ABA, which qualifies. Yes, indeed, that allows my easier wording.
And we had already seen that SILKS is white.
-- Simon
Since Simon guessed your rule correctly, Ramon, I'll let Simon have his turn first if he likes. Unless he calls open floor again, then I pass it on to Proxima since he guessed mine correctly but decided to pass that time. If Proxima decides to pass again, then and only then I'll be happy to take my turn again so soon :laugh:
All right, new round!
White koans:
TRIFURCATION
Black koans:
ASYMMETRIC
-- Simon
FUN
TRICKY
TAXING
MAYHEM
White koans:
* FUN
* MAYHEM
TRIFURCATION
Black koans:
ASYMMETRIC
* TAXING
* TRICKY
-- Simon
Is the words "new round" in bold a clue?
SYMMETRIC
TRUNCATION
CONCATENATION
CAT
SIMON
TREE
FRUIT
No, "new round" is not a clue.
White koans:
* CAT
FUN
MAYHEM
* TREE
TRIFURCATION
Black koans:
ASYMMETRIC
* CONCATENATION
* FRUIT
* SIMON
* SYMMETRIC
TAXING
TRICKY
* TRUNCATION
-- Simon
FUNCTION
AT
ACT
White koans:
* ACT
* AT
CAT
FUN
MAYHEM
TREE
TRIFURCATION
Black koans:
ASYMMETRIC
CONCATENATION
FRUIT
* FUNCTION
SIMON
SYMMETRIC
TAXING
TRICKY
TRUNCATION
-- Simon
KYHU
UQFQ
OYUX
ZXSX
OKPI
ZICZ
White koans:
ACT * OYUX
AT TREE
CAT TRIFURCATION
FUN * UQFQ
* KYHU * ZXSX
MAYHEM
Black koans:
ASYMMETRIC SYMMETRIC
CONCATENATION TAXING
FRUIT TRICKY
FUNCTION TRUNCATION
* OKPI * ZICZ
SIMON
-- Simon
OXR
DDR
BTU
VOV
QJR
EB
XY
WE
ZF
WD
C
F
G
M
V
White koans:
ACT * G UQFQ
AT KYHU * V
* BTU * M * VOV
* C MAYHEM * WD
CAT * OXR * WE
* DDR OYUX * XY
* EB * QJR * ZF
* F TREE ZXSX
FUN TRIFURCATION
Black koans:
ASYMMETRIC SYMMETRIC
CONCATENATION TAXING
FRUIT TRICKY
FUNCTION TRUNCATION
OKPI ZICZ
SIMON
-- Simon
OXO
A
E
I
O
U
Z
Y
X
White koans:
* A F OXR WD
ACT FUN OYUX WE
AT G QJR * X
BTU * I TREE XY
C KYHU TRIFURCATION * Y
CAT M * U * Z
DDR MAYHEM UQFQ ZF
* E * O V ZXSX
EB * OXO VOV
Black koans:
ASYMMETRIC SYMMETRIC
CONCATENATION TAXING
FRUIT TRICKY
FUNCTION TRUNCATION
OKPI ZICZ
SIMON
-- Simon
AKHTBN iff it's 4 or more characters long and is a real word or contains a word inside of it
Quote from: Silken Healer on December 13, 2024, 12:52:34 PMAKHTBN iff it's 4 or more characters long and is a real word or contains a word inside of it
I just realized this is an invalid guess due to TREE being white
Oooh hm maybe it's AKHTBN iff it's 4 or more characters long and is a real word or contains a real word inside of it but if it's 4 characters long it has to contain a real word inside of it but it can't be a real word in and of itself if it's 4 characters long to be white
I don't know what you mean by "real word". Please define or choose a dictionary.
Regardless of how you want to define "real word", the table breaks your guess: A is not 4 or more characters long, but it's white nonetheless.
-- Simon
Not sure I understand Silken's guess. Most of the white koans are less than 4 characters and aren't real words... ???
What I hand in mind is I wanted ZIC to be a real word, because it's an oil company. I'll try to reiterate my guess more clearly
I made a flowchart in paint to articulate what I meant better.
(https://i.imgur.com/jx35emw.png)
I promise I'm not trying to take the piss by the way, this was just the quickest way to represent what I meant.
I still have no idea what a reasonable definition of real words should be.
I assume that the existing MAYHEM (white) will break your guess even after you decide what the definition of real words should be.
-- Simon
Quote from: Simon on December 13, 2024, 01:33:31 PMI assume that the existing MAYHEM (white) will break your guess even after you decide what the definition of real words should be.
Yes, I just noticed it would be, I'm sorry for wasting everyone's time with that guess
Quote from: Silken HealerYes, I just noticed it would be, I'm sorry for wasting everyone's time with that guess
No guess is a waste of time as it helps to move towards a solution; all contibutions are welcome and necessary :thumbsup:
I still don't understand your guess. This post is partcularly confusing:
Quote from: Silken HealerAKHTBN iff it's 4 or more characters long and is a real word or contains a word inside of it
Quote from: Silken HealerI just realized this is an invalid guess due to TREE being white
TREE is 4 characters long and is a real word (assuming "real word" is either a word that can be found in any dictionary, or a recognisable acronym/abbreviation), so why would this be an invalid guess? You then said you wanted ZIC to be a real word. OK, but that's in the list of black koans, so it already disproves your guess anyway.
Simon has also added to the confusion somewhat by saying that MAYHEM also disproves the guess because it's a white koan; however, this is also 4+ characters and a real word, so it proves your guess.
So, I must have completely misunderstood your guess! :forehead:
Quote from: WillLem on December 14, 2024, 05:19:42 AMsaying that MAYHEM also disproves the guess because it's a white koan; however, this is also 4+ characters and a real word, so it proves your guess.
Correct, I confused the directions in the flowchart. I retract the statement about how MAYHEM is likely to disprove a guess. MAYHEM should be black according to Silken's flowchart.
The existing
TRIFURCATION (white) contains
CAT. Is that enough for you to counter the guess?
Otherwise, I fall back to: Your guess is unfinished. Define which dictionary(ies) you want to use for "real word". I cannot make counterexamples unless we both agree what exact subset of the koanspace you mean.
-- Simon
Quote from: Simon on December 14, 2024, 05:43:18 AMSilken, your guess is unfinished. Define which dictionary(ies) you want to use for "real word". I cannot make counterexamples unless we both agree what exact subset of the koanspace you mean.
It's not so much the lack of definition of "real word" that's confusing, it's more the fact that the guess appears to reflect the polar opposite of what's in the koans table. Perhaps Silken misread the table, and got the white/black koans reversed somehow?
Silken, please define "real word" for Simon, and then confirm that your guess reflects the existing koan table for me! :P
Quote from: Silken Healer on December 13, 2024, 01:37:26 PMsaying that MAYHEM also disproves the guess because it's a white koan; however, this is also 4+ characters and a real word, so it proves your guess.
I went according to his flowchart.
MAYHEM is 5 characters or longer, go right.
MAYHEM contains
MAY, which probably qualifies for "real word". Go down, and we reach an end. The flowchart now declares it black, but it's really white.
Should the flowchart have different behavior than his written guess, I'll treat the flowchart as gospel and the written guess as buggy. Should we disagree whether
MAY is probable to qualifiy for "real word", I'll defer to: Silken must first define exactly which dictionaries I should use. Then, I'll re-scan the table. Only then, I'll make new counterexamples.
-- Simon
OK
OKP
OKPO
White koans:
A FUN OXO WD
ACT G OXR WE
AT I OYUX X
BTU KYHU QJR XY
C M TREE Y
CAT MAYHEM TRIFURCATION Z
DDR O U ZF
E * OK UQFQ ZXSX
EB * OKP V
F * OKPO VOV
Black koans:
ASYMMETRIC SYMMETRIC
CONCATENATION TAXING
FRUIT TRICKY
FUNCTION TRUNCATION
OKPI ZICZ
SIMON
-- Simon
OKOP
OKPIF
OXI
White koans:
A FUN OKPO VOV
ACT G OXO WD
AT I OXR WE
BTU KYHU OYUX X
C M QJR XY
CAT MAYHEM TREE Y
DDR O TRIFURCATION Z
E OK U ZF
EB * OKOP UQFQ ZXSX
F OKP V
Black koans:
ASYMMETRIC SIMON
CONCATENATION SYMMETRIC
FRUIT TAXING
FUNCTION TRICKY
OKPI TRUNCATION
* OKPIF ZICZ
* OXI
-- Simon
FURCATION
CATENATION
CATION
White koans:
A FUN OKPO VOV
ACT G OXO WD
AT I OXR WE
BTU KYHU OYUX X
C M QJR XY
CAT MAYHEM TREE Y
DDR O TRIFURCATION Z
E OK U ZF
EB OKOP UQFQ ZXSX
F OKP V
Black koans:
ASYMMETRIC OKPIF
* CATENATION OXI
* CATION SIMON
CONCATENATION SYMMETRIC
FRUIT TAXING
FUNCTION TRICKY
* FURCATION TRUNCATION
OKPI ZICZ
-- Simon
XURCATION
FXRCATION
FUXCATION
FURXATION
FURCXTION
FURCAXION
FURCATXON
FURCATIXN
FURCATIOX
XATENATION
CXTENATION
CAXENATION
CATXNATION
CATEXATION
CATENXTION
CATENAXION
CATENATXON
CATENATIXN
CATENATIOX
XATION
CXTION
CAXION
CATXON
CATIXN
CATIOX
HXI
IXI
QXI
White koans:
A E M OYUX WE
ACT EB MAYHEM QJR X
AT F O TREE XY
BTU FUN OK TRIFURCATION Y
C * FURCATXON OKOP U Z
CAT G OKP UQFQ ZF
* CATENATXON I OKPO V ZXSX
* CATXON * IXI OXO VOV
DDR KYHU OXR WD
Black koans:
ASYMMETRIC * CATXNATION * FURCATIXN * QXI
CATENATION * CAXENATION * FURCAXION SIMON
* CATENATIOX * CAXION * FURCXTION SYMMETRIC
* CATENATIXN CONCATENATION * FURXATION TAXING
* CATENAXION * CXTENATION * FUXCATION TRICKY
* CATENXTION * CXTION * FXRCATION TRUNCATION
* CATEXATION FRUIT * HXI * XATENATION
CATION FUNCTION OKPI * XATION
* CATIOX FURCATION OKPIF * XURCATION
* CATIXN * FURCATIOX OXI ZICZ
-- Simon
HXH
OKI
OKO
QXQ
White koans:
A EB MAYHEM QJR X
ACT F O * QXQ XY
AT FUN OK TREE Y
BTU FURCATXON * OKO TRIFURCATION Z
C G OKOP U ZF
CAT * HXH OKP UQFQ ZXSX
CATENATXON I OKPO V
CATXON IXI OXO VOV
DDR KYHU OXR WD
E M OYUX WE
Black koans:
ASYMMETRIC CATIXN FURCATION * OKI TRUNCATION
CATENATION CATXNATION FURCATIOX OKPI XATENATION
CATENATIOX CAXENATION FURCATIXN OKPIF XATION
CATENATIXN CAXION FURCAXION OXI XURCATION
CATENAXION CONCATENATION FURCXTION QXI ZICZ
CATENXTION CXTENATION FURXATION SIMON
CATEXATION CXTION FUXCATION SYMMETRIC
CATION FRUIT FXRCATION TAXING
CATIOX FUNCTION HXI TRICKY
-- Simon
THISRULEISVERYHARD
IAMTRYINGSOMEMOREKOANS
HOPEFULLYIWILLBEABLETOFIGUREOUT
ANOTHERRULEGUESSSOON
KOK
XQX
XHX
OVO
White koans:
A DDR IXI OKP TRIFURCATION * XQX
ACT E * KOK OKPO U XY
* ANOTHERRULEGUESSSOON EB KYHU * OVO UQFQ Y
AT F M OXO V Z
BTU FUN MAYHEM OXR VOV ZF
C FURCATXON O OYUX WD ZXSX
CAT G OK QJR WE
CATENATXON HXH OKO QXQ X
CATXON I OKOP TREE * XHX
Black koans:
ASYMMETRIC CATIXN FURCATION OKI TRUNCATION
CATENATION CATXNATION FURCATIOX OKPI XATENATION
CATENATIOX CAXENATION FURCATIXN OKPIF XATION
CATENATIXN CAXION FURCAXION OXI XURCATION
CATENAXION CONCATENATION FURCXTION QXI ZICZ
CATENXTION CXTENATION FURXATION SIMON
CATEXATION CXTION FUXCATION SYMMETRIC
CATION FRUIT FXRCATION TAXING
CATIOX FUNCTION HXI TRICKY
* HOPEFULLYIWILLBEABLETOFIGUREOUT
* IAMTRYINGSOMEMOREKOANS
* THISRULEISVERYHARD
-- Simon
AAA
BBB
CCC
DDD
EEE
FFF
GGG
HHH
III
JJJ
KKK
LLL
MMM
NNN
OOO
PPP
QQQ
RRR
SSS
TTT
UUU
VVV
WWW
XXX
YYY
ZZZ
White koans:
A DDR * III OKO * RRR * WWW
* AAA E IXI OKOP * SSS X
ACT EB * JJJ OKP TREE XHX
ANOTHERRULEGUESSSOON * EEE * KKK OKPO TRIFURCATION XQX
AT F KOK * OOO * TTT * XXX
* BBB * FFF KYHU OVO U XY
BTU FUN * LLL OXO UQFQ Y
C FURCATXON M OXR * UUU * YYY
CAT G MAYHEM OYUX V Z
CATENATXON * GGG * MMM * PPP VOV ZF
CATXON * HHH * NNN QJR * VVV ZXSX
* CCC HXH O * QQQ WD * ZZZ
* DDD I OK QXQ WE
Black koans:
ASYMMETRIC CONCATENATION HOPEFULLYIWILLBEABLETOFIGUREOUT TRUNCATION
CATENATION CXTENATION HXI XATENATION
CATENATIOX CXTION IAMTRYINGSOMEMOREKOANS XATION
CATENATIXN FRUIT OKI XURCATION
CATENAXION FUNCTION OKPI ZICZ
CATENXTION FURCATION OKPIF
CATEXATION FURCATIOX OXI
CATION FURCATIXN QXI
CATIOX FURCAXION SIMON
CATIXN FURCXTION SYMMETRIC
CATXNATION FURXATION TAXING
CAXENATION FUXCATION THISRULEISVERYHARD
CAXION FXRCATION TRICKY
-- Simon
AA
AAC
CAA
temptation
he
which
Occasion
own
learner
chick
of
ever
trouble
imitate
thence
sick
away
is
consequently
White koans:
A * CHICK HHH O QQQ WD
* AA * CONSEQUENTLY HXH * OF QXQ WE
AAA DDD I OK RRR * WHICH
* AAC DDR III OKO SSS WWW
ACT E IXI OKOP * THENCE X
AT EB JJJ OKP TREE XHX
* AWAY EEE KKK OKPO TRIFURCATION XQX
BBB * EVER KOK OOO * TROUBLE XXX
BTU F KYHU OVO TTT XY
C FFF * LEARNER * OWN U Y
* CAA FUN LLL OXO UQFQ YYY
CAT FURCATXON M OXR UUU Z
CATENATXON G MAYHEM OYUX V ZF
CATXON GGG MMM PPP VOV ZXSX
CCC * HE NNN QJR VVV ZZZ
ANOTHERRULEGUESSSOON
Black koans:
ASYMMETRIC CATIXN FURCATION * IMITATE SIMON ZICZ
CATENATION CATXNATION FURCATIOX * IS SYMMETRIC
CATENATIOX CAXENATION FURCATIXN * OCCASION TAXING
CATENATIXN CAXION FURCAXION OKI * TEMPTATION
CATENAXION CONCATENATION FURCXTION OKPI TRICKY
CATENXTION CXTENATION FURXATION OKPIF TRUNCATION
CATEXATION CXTION FUXCATION OXI XATENATION
CATION FRUIT FXRCATION QXI XATION
CATIOX FUNCTION HXI * SICK XURCATION
HOPEFULLYIWILLBEABLETOFIGUREOUT THISRULEISVERYHARD
IAMTRYINGSOMEMOREKOANS
-- Simon
I have a bug in the max width computation. Sorry for overwide output. Fixing.
Fixed.
-- Simon
Can I have a hint? This is tricky...
Proxima and you have progressed well today. If you don't see anything, mull over today's results for a day or two. Or see what Proxima does in the meantime.
-- Simon
AXI
BXI
CXI
XXI
YXI
ZXI
EXI
IXI
OXI
UXI
HAI
HBI
HCI
HEI
HII
HOI
HUI
HYI
HZI
HXA
HXB
HXC
HXE
HXI
HXO
HXU
HXX
HXY
HXZ
HXH
White koans:
A DDD * HXE MAYHEM QJR WE
AA DDR * HXH MMM QQQ WHICH
AAA E * HXO NNN QXQ WWW
AAC EB * HXU O RRR X
ACT EEE * HXX OF SSS XHX
AT EVER * HXY OK THENCE XQX
AWAY F * HXZ OKO TREE XXX
BBB FFF I OKOP TRIFURCATION XY
BTU FUN III OKP TROUBLE Y
C FURCATXON * IXI OKPO TTT YYY
CAA G JJJ OOO U Z
CAT GGG KKK OVO UQFQ ZF
CATENATXON HE KOK OWN UUU ZXSX
CATXON HHH KYHU OXO V ZZZ
CCC * HXA LEARNER OXR VOV
CHICK * HXB LLL OYUX VVV
CONSEQUENTLY * HXC M PPP WD
ANOTHERRULEGUESSSOON
Black koans:
ASYMMETRIC CATXNATION FURCATIXN * HUI SICK * YXI
* AXI CAXENATION FURCAXION * HXI SIMON ZICZ
* BXI CAXION FURCXTION * HYI SYMMETRIC * ZXI
CATENATION CONCATENATION FURXATION * HZI TAXING
CATENATIOX * CXI FUXCATION IMITATE TEMPTATION
CATENATIXN CXTENATION FXRCATION IS TRICKY
CATENAXION CXTION * HAI OCCASION TRUNCATION
CATENXTION * EXI * HBI OKI * UXI
CATEXATION FRUIT * HCI OKPI XATENATION
CATION FUNCTION * HEI OKPIF XATION
CATIOX FURCATION * HII * OXI XURCATION
CATIXN FURCATIOX * HOI QXI * XXI
HOPEFULLYIWILLBEABLETOFIGUREOUT THISRULEISVERYHARD
IAMTRYINGSOMEMOREKOANS
-- Simon
HI
IHI
II
IIH
White koans:
A CHICK HHH IXI OKOP THENCE X
AA CONSEQUENTLY HXA JJJ OKP TREE XHX
AAA DDD HXB KKK OKPO TRIFURCATION XQX
AAC DDR HXC KOK OOO TROUBLE XXX
ACT E HXE KYHU OVO TTT XY
AT EB HXH LEARNER OWN U Y
AWAY EEE HXO LLL OXO UQFQ YYY
BBB EVER HXU M OXR UUU Z
BTU F HXX MAYHEM OYUX V ZF
C FFF HXY MMM PPP VOV ZXSX
CAA FUN HXZ NNN QJR VVV ZZZ
CAT FURCATXON I O QQQ WD
CATENATXON G * IHI OF QXQ WE
CATXON GGG * II OK RRR WHICH
CCC HE III OKO SSS WWW
ANOTHERRULEGUESSSOON
Black koans:
ASYMMETRIC CAXENATION FURCXTION HYI SYMMETRIC
AXI CAXION FURXATION HZI TAXING
BXI CONCATENATION FUXCATION * IIH TEMPTATION
CATENATION CXI FXRCATION IMITATE TRICKY
CATENATIOX CXTENATION HAI IS TRUNCATION
CATENATIXN CXTION HBI OCCASION UXI
CATENAXION EXI HCI OKI XATENATION
CATENXTION FRUIT HEI OKPI XATION
CATEXATION FUNCTION * HI OKPIF XURCATION
CATION FURCATION HII OXI XXI
CATIOX FURCATIOX HOI QXI YXI
CATIXN FURCATIXN HUI SICK ZICZ
CATXNATION FURCAXION HXI SIMON ZXI
HOPEFULLYIWILLBEABLETOFIGUREOUT THISRULEISVERYHARD
IAMTRYINGSOMEMOREKOANS
-- Simon
Maybe a hint?
Hint 1: What is chaff and can be ignored? All-chaff koans happen to be white under this secret rule. The list of white koans has many all-chaff koans already; filter them out to see the weightful white koans.
-- Simon
KNOBLAUCH
IM
TOPF
White koans:
A DDR HXO MAYHEM QQQ WHICH
AA E HXU MMM QXQ WWW
AAA EB HXX NNN RRR X
AAC EEE HXY O SSS XHX
ACT EVER HXZ OF THENCE XQX
AT F I OK * TOPF XXX
AWAY FFF IHI OKO TREE XY
BBB FUN II OKOP TRIFURCATION Y
BTU FURCATXON III OKP TROUBLE YYY
C G IXI OKPO TTT Z
CAA GGG JJJ OOO U ZF
CAT HE KKK OVO UQFQ ZXSX
CATENATXON HHH * KNOBLAUCH OWN UUU ZZZ
CATXON HXA KOK OXO V
CCC HXB KYHU OXR VOV
CHICK HXC LEARNER OYUX VVV
CONSEQUENTLY HXE LLL PPP WD
DDD HXH M QJR WE
ANOTHERRULEGUESSSOON
Black koans:
ASYMMETRIC CAXENATION FURCXTION HYI SIMON ZXI
AXI CAXION FURXATION HZI SYMMETRIC
BXI CONCATENATION FUXCATION IIH TAXING
CATENATION CXI FXRCATION * IM TEMPTATION
CATENATIOX CXTENATION HAI IMITATE TRICKY
CATENATIXN CXTION HBI IS TRUNCATION
CATENAXION EXI HCI OCCASION UXI
CATENXTION FRUIT HEI OKI XATENATION
CATEXATION FUNCTION HI OKPI XATION
CATION FURCATION HII OKPIF XURCATION
CATIOX FURCATIOX HOI OXI XXI
CATIXN FURCATIXN HUI QXI YXI
CATXNATION FURCAXION HXI SICK ZICZ
HOPEFULLYIWILLBEABLETOFIGUREOUT THISRULEISVERYHARD
IAMTRYINGSOMEMOREKOANS
Hint 1: What is chaff and can be ignored? All-chaff koans happen to be white under this secret rule. The list of white koans has many all-chaff koans already; filter them out to see the weightful white koans.
-- Simon
A koan does NOT have the buddha nature if it contains an I and is not palindromic.
If this is the correct rule: Well, it should have been faster to figure it out. The hint was pretty good and "I" (see what "I" did there?) actually like the combination of how the inclusion of a specific letter made it tougher. I'd also pass the next master round on to kaywhyn.
Quote from: Ramon on December 16, 2024, 11:11:37 PMA koan does NOT have the buddha nature if it contains an I and is not palindromic.
The table refutes this:
CHICK contains an
I and is not palindromic, therefore it should be black by your guess, yet it is white.
-- Simon
I also just realized your starting koan disproves the rule. Can't be far off though, most of the white non-chaff koans fit the bill :lix-suspicious:
Let's adjust it to: A koan does NOT have the buddha nature if it contains an I and there is a different amount of letters to the left of the leftmost I than to the right of the rightmost I.
This is an invalid guess, II is already white on the table
II is white under my rule.
But I have a better formulation: A koan containing an I has the buddha nature if the positions of its "I"s are symmetric within the koan.
Quote from: Ramon on December 16, 2024, 11:26:15 PMII is white under my rule.
Quote from: Ramon on December 16, 2024, 11:18:24 PMI also just realized your starting koan disproves the rule. Can't be far off though, most of the white non-chaff koans fit the bill :lix-suspicious:
Let's adjust it to: A koan does NOT have the buddha nature if it contains an I and there is a different amount of letters to the left of the leftmost I than to the right of the rightmost I.
II
Rightmost I: II
I's to the left: 1
I's to the right: 0
they are different, so it should be black under your rule guess
We count the letters to the left of the leftmost I (which is 0) and we count the letters right of the rightmost I (which is 0)
:-[
Quote from: Ramon on December 16, 2024, 11:26:15 PMBut I have a better formulation: A koan containing an I has the buddha nature if the positions of its "I"s are symmetric within the koan.
You are enlightened!
A koan is white iff it becomes a palindrome after forgetting the differences among the 25 non-
I letters.
-- Simon
Quote from: Simon on December 16, 2024, 11:41:23 PMQuote from: Ramon on December 16, 2024, 11:26:15 PMBut I have a better formulation: A koan containing an I has the buddha nature if the positions of its "I"s are symmetric within the koan.
You are enlightened!
A koan is white iff it becomes a palindrome after forgetting the differences among the 25 non-I letters.
-- Simon
Quote from: Ramon on December 16, 2024, 11:11:37 PMA koan does NOT have the buddha nature if it contains an I and is not palindromic.
If this is the correct rule: Well, it should have been faster to figure it out. The hint was pretty good and "I" (see what "I" did there?) actually like the combination of how the inclusion of a specific letter made it tougher. I'd also pass the next master round on to kaywhyn.
Congrats, and thank you kindly
@Ramon! :thumbsup: Before I take my turn, I'll see if Proxima wants to take his turn first since he previously guessed my rule correctly but decided to pass his turn to be rulemaster. If he still decides he doesn't want to take his turn and says that I can go, then I'll take my turn :)
Don't be silly, it doesn't carry over like that :P
Quote from: Simon on December 16, 2024, 11:41:23 PMYou are enlightened!
A koan is white iff it becomes a palindrome after forgetting the differences among the 25 non-I letters.
You provided the perfect black starting koan, the round looped back to it nicely.
Quote from: Proxima on December 17, 2024, 12:38:23 AMDon't be silly, it doesn't carry over like that :P
I hardly think it's silly when I'm being nice and allowing you to have a turn first because you previously decided to pass on being the rulemaster from guessing my rule correctly :P Especially if you have a good rule ;) However, since you're fine with me taking my turn, I'll go ahead and take it, so thanks :)
Anyway, new round!
White koans:
LIGHT
Black koans:
BRIGHT
RIGHT
BLIGHT
IGHT
LLLLL
-- Simon
White koans:
LIGHT
* LLLLL
* RIGHT
Black koans:
* BLIGHT
BRIGHT
* IGHT
AKHTBN iff it's first letter is alphabetically later than (or equal to) the letter "L"
Counterexample: PLIGHT. In this case, P comes later than L in the alphabet but PLIGHT is black, not white.
White koans:
LIGHT
LLLLL
RIGHT
Black koans:
BLIGHT
BRIGHT
IGHT
* PLIGHT
GHT
HT
T
LIGH
LIG
LI
L
BRIGH
BRIG
BRI
BR
B
BITE
MIGHT
NIGHT
QUITE
FIGHT
WHITE
BRIGHT
FRIGHT
SPITE
FLIGHT
TIGHT
SIGHT
SPRITE
KITE
SLIGHT
MIDNIGHT
IGNITE
ALRIGHT
DESPITE
TONIGHT
INVITE
POLITE
DAYLIGHT
RECITE
SPOTLIGHT
DELIGHT
DYNAMITE
METEORITE
White koans:
* ALRIGHT * HT RIGHT
* BR * LI * SIGHT
* BRI * LIG * SPITE
* BRIGH LIGHT * TIGHT
* DELIGHT LLLLL * TONIGHT
* DESPITE * MIGHT * WHITE
* FIGHT * NIGHT
* GHT * QUITE
Black koans:
* B * FRIGHT * MIDNIGHT
* BITE IGHT PLIGHT
BLIGHT * IGNITE * POLITE
* BRIG * INVITE * RECITE
BRIGHT * KITE * SLIGHT
* DAYLIGHT * L * SPOTLIGHT
* DYNAMITE * LIGH * SPRITE
* FLIGHT * METEORITE * T
Quote from: Silken Healer on December 17, 2024, 04:05:06 PM...
WHITE
BRIGHT
FRIGHT
...
BRIGHT is an initial black koan, it happened to be in your list of 40 guesses for some reason :P
Quote from: kaywhyn on December 17, 2024, 04:41:54 PMBRIGHT is an initial black koan, it happened to be in your list of 40 guesses for some reason :P
Because I just copied it from a list of rhymes for light quickly without checking each one and if there was a duplicate you could just manually not re-add it to the list of koans
AKHTBN iff it's length is a prime number
Bump. kaywhyn, is the above guess correct?
Other than how "it's" should be "its," that is indeed my rule. The slightly different wording from mine doesn't matter, so long as the "string's length is a prime number" or something along that line is included. I'm just picky when it comes to grammar :P
I'll give up the next round to anyone else who wants it. I don't care who takes it it's just I'm too shy to play as the rulemaster
Okay, I'll do one.
White koans:
FERRET
Black koans:
WEASEL
LEMMING
OTTER
BADGER
MARTEN
FERET
FERAT
MOUSEL
-- Simon
MOUSE
SHREW
MOLE
VERRON
CHIPMUNK
SQUIRREL
BEAVER
BAT
HAWK
KIWI
White koans:
BADGER VERRON
BEAVER
CHIPMUNK
FERAT
FERET
FERRET
LEMMING
MARTEN
MOLE
OTTER
Black koans:
BAT
HAWK
KIWI
MOUSE
MOUSEL
SHREW
SQUIRREL
WEASEL
BAT
AT
T
BT
ERAT
RAT
FRAT
FAT
FRT
FEAT
FET
RT
FT
ET
FERT
FRET
ERET
EET
ET
RET
ERT
FEET
ERRET
RRET
FRRET
FRRT
FERRT
ERRT
Sorry, I'm going to say this is too many. In this case it's not that I think your guess will trivialise the round, just that adding so many to the list at once is not fun and it would be nicer to play in smaller chunks.
BAT
AT
T
BT
ERAT
RAT
FRAT
Thanks for being understanding :thumbsup:
White koans:
BADGER OTTER
BEAVER VERRON
CHIPMUNK
ERAT
FERAT
FERET
FERRET
LEMMING
MARTEN
MOLE
Black koans:
AT SQUIRREL
BAT WEASEL
BT
FRAT
HAWK
KIWI
MOUSE
MOUSEL
RAT
SHREW
LEMMINGS
MICE
OTTERS
BADGERS
WEASELS
SQUIRELLS
I guess that SQUIRELLS was a typo and you wanted SQUIRRELS, so I've added both.
White koans:
BADGER MOLE
BEAVER OTTER
CHIPMUNK VERRON
ERAT
FERAT
FERET
FERRET
LEMMING
MARTEN
MICE
Black koans:
AT OTTERS
BADGERS RAT
BAT SHREW
BT SQUIRELLS
FRAT SQUIRREL
HAWK SQUIRRELS
KIWI WEASEL
LEMMINGS WEASELS
MOUSE
MOUSEL
ART
RATE
TEAR
TAER
-- Simon
White koans:
BADGER MOLE
BEAVER OTTER
CHIPMUNK RATE
ERAT TAER
FERAT TEAR
FERET
FERRET
LEMMING
MARTEN
MICE
Black koans:
ART MOUSEL
AT OTTERS
BADGERS RAT
BAT SHREW
BT SQUIRELLS
FRAT SQUIRREL
HAWK SQUIRRELS
KIWI WEASEL
LEMMINGS WEASELS
MOUSE
EAR
ER
EA
EET
-- Simon
CHIP
MUNK
SBADGER
...CUP