Cooperative Zendo

[Lambda]

No, no, no, no, no, no.

Yes, yes, no.

Koans

---

Yes:
AiR
air
aiR
aIr
aIR
Air
AIr
AIR
ari
EaRtH
earth
f7re
f7ri
fer7
fir
fir7
fiter
iar
ira
rai
rererer
ria
WaTeR
water
witer

No:
(empty string)
0
0123456789
1
1o
2
3
4
5
5ire
6
6h
6ire
7
8
9
99
a
aa
abcdefghijklmnopqrstuvwxyz
e
f
f1re
f7r7
f8re
fi
fier
fir4
fir5
FiRe
fire
i
ii
iter
r
ri
xx
xy

[DanielH]

Things that at least seem to be the case

---

Plausible:

• The rule doesn’t care about anagrams
• Case doesn’t matter
• You need at least one letter
• You need more than one character

Less plausible (I expect these patterns are an artifact of our specific tests, not of the rule itself):

• You need at least two letters
• You need more than two characters

We could probably gain the most information by proving one of the plausible patterns wrong, but I’ll focus on the ones I marked less plausible because it’s correspondingly more likely I can find a counterexample.

fr7
f7
r7

fr
fe

[pedromvilar]

The rule also probably has something to do with the letter R, all yesses have it.

[DanielH]

Oh wow how did I not notice that?

r
R
rr
1r
7r

[Lambda]

fr7: no
f7: yes
r7: yes
fr: no
fe: no
r: no
R: no
rr: no
1r: no
7r: yes

Koans

---

Yes:
7r
AiR
air
aiR
aIr
aIR
Air
AIr
AIR
ari
EaRtH
earth
f7
f7re
f7ri
fer7
fir
fir7
fiter
iar
ira
r7
rai
rererer
ria
WaTeR
water
witer

No:
(empty string)
0
0123456789
1
1o
1r
2
3
4
5
5ire
6
6h
6ire
7
8
9
99
a
aa
abcdefghijklmnopqrstuvwxyz
e
f
f1re
f7r7
f8re
fe
fi
fier
fir4
fir5
FiRe
fire
fr
fr7
i
ii
iter
r
r
R
ri
rr
xx
xy

[kuuskytkolme]

wr
ar
tr
er
rr

All the letters of water + r

[DanielH]

We are missing a lot of letters.

b
c
d
g
h
j
k
l
m
n

I do not expect any of these to be yes, for reasons I outlined above. But it would be nice to be surer.

[Lambda]

All no.

Koans

---

Yes:
7r
AiR
air
aiR
aIr
aIR
Air
AIr
AIR
ari
EaRtH
earth
f7
f7re
f7ri
fer7
fir
fir7
fiter
iar
ira
r7
rai
rererer
ria
WaTeR
water
witer

No:
(empty string)
0
0123456789
1
1o
1r
2
3
4
5
5ire
6
6h
6ire
7
8
9
99
a
aa
abcdefghijklmnopqrstuvwxyz
ar
b
c
d
e
er
f
f1re
f7r7
f8re
fe
fi
fier
fir4
fir5
FiRe
fire
fr
fr7
g
h
i
ii
iter
j
k
l
m
n
r
r
R
ri
rr
rr
tr
wr
xx
xy

[kuuskytkolme]

Water, all permutations with one letter removed

ater
wter
waer
watr
wate

[Lambda]

All no.

Koans

---

Yes:
7r
AiR
air
aiR
aIr
aIR
Air
AIr
AIR
ari
EaRtH
earth
f7
f7re
f7ri
fer7
fir
fir7
fiter
iar
ira
r7
rai
rererer
ria
WaTeR
water
witer

No:
(empty string)
0
0123456789
1
1o
1r
2
3
4
5
5ire
6
6h
6ire
7
8
9
99
a
aa
abcdefghijklmnopqrstuvwxyz
ar
ater
b
c
d
e
er
f
f1re
f7r7
f8re
fe
fi
fier
fir4
fir5
FiRe
fire
fr
fr7
g
h
i
ii
iter
j
k
l
m
n
r
R
ri
rr
tr
waer
wate
watr
wr
wter
xx
xy