Cooperative Zendo

[Lambda]

case
tuna
noes
ones

[edited to add:]
fete
rage
leek

[Unbitwise]

Yes: case tuna noes ones rage

No: fete leek

[DanielH]

Can you add comments about your thought process?

[Lambda]

Trying to understand how anagrams work.

Some eliminated hypotheses:
Half the letters must be vowels. (tons)
The number of vowels and/or consonants must be a proper factor of the length. (softener, colonize)
It somehow uses the series of vowels and consonants (e.g. cVcV might be read as binary 0101=5). (bore, robe)
Consonants are interchangeable. (bore, robe)
Alphabetical order [of <consonants|vowels>] matters. (beef, beep)

Vowels are interchangeable... hmmm. Can't find any counterexamples.

---

boop
ball
beak
bean
bear

beer
foot
poop
rise
soar

[DanielH]

Thank you.

I’m sorry for asking for the 25-length string; I hadn’t thought enough to realize that my two guesses were practically equivalent for the lengths we use.

We have boon and boor, let’s try some others:

boot
boar
boat
beet
beat
bout
bool
bail
boom
beam

[Unbitwise]

Yes: bean bear beer boop rise soar
No: ball beak foot poop

Yes: beam boar boom
No: bail beat beet boat bool boot bout

Weak hint: There is no counting-of-elements or alphabetical-or-other-ordering involved in the rule.

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Initial post: http://alicorn.elcenia.com/board/viewtopic.php?p=28174#p28174
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Yes:
aces
beam
bean
bear
beep
beer
bees
boar
boom
boon
boop
boor
bore
case
dice
eons
keen
keep
knee
noes
noon
ones
rage
rise
rose
rosy
sear
seen
seer
soar
sore
tans
tuna
bazaar
colour
eaters
keeper
orange
ranges
risque
unseen
softener
stranger
scavenger
bookkeeper
dictionary
rootlessness
countermaneuver
simultaneousness
antisimultaneousness

No:
pee
aced
ants
aunt
bail
ball
beak
beat
beef
beet
bell
boat
book
bool
boot
bout
eeks
feet
fete
foot
gear
geek
gray
grey
iced
keel
leek
offs
peek
peep
poop
seek
snot
abbey
alien
aunts
bells
bleep
books
chaos
color
deign
forum
green
groom
iambs
keeps
kneel
lying
mails
offer
often
peach
peeks
range
scene
sixty
sores
sorry
three
which
witch
cookie
easter
eureka
lambda
listen
office
peeker
ranged
ranked
secret
silent
soften
softer
speech
unseal
alicorn
beeswax
belling
biscuit
bizarre
bulwark
canteen
defence
defense
keepers
oranges
peekers
secrete
softens
softest
strange
umpteen
witches
aardvark
alphabet
colonise
colonize
unseemly
witching
alphabets
softening
strangers
strangest
unbitwise
wildebeest
abecedarian
magnificent
parallelled
picturesque
abbreviating
alphabetical
broadcasters
deactivating
deactivation
heavyweights
microgrooves
populousness
secretkeeper
tautological
zoologically
alphabetically
parallellogram
transmogrification
antidisestablishmentarianism
supercalifragilisticexpialidocious
pneumonoultramicroscopicsilicovolcanoconiosis

[DanielH]

But there is still at least something relevant about order, even if it’s not explicit in the rule. Otherwise there are a lot of miscategorized words.

[Unbitwise]

I meant that — <fails to explain in a reasonable way> — never mind. Certainly the conventional alphabetical ordering is irrelevant to the rule.

[Lambda]

Perhaps you meant "determining whether a given sequence of letters is 'in order' or not"?

Vowels do actually seem to be interchangeable. Interesting. Better check with some non-length-4 words, though...

scone
watch
sires
watches
stronger

watching
strongest
bills
balls

[DanielH]

Oh, I get what you mean. There is no fixed ordering of letters such as alphabetical or QWERTY order that the rule cares about; there is no relevant bijection between letters and consecutive integers?

There might be a nonbijective mapping, like the syllable counting two games ago, though (although not that one in particular for multiple reasons).

nonbijective
bijective
bike
tons
tens
tins
tune
tine
tone
turn