Go Zendo

[ArsenLapin1]

Yup, this is correct (assuming magenta means red and cyan means green).

[Jon_Ko]

Yeah, I inverted the colors of the whole images, just ignore the blue channel.

[Jon_Ko]

[ArsenLapin1]

Red!

[Jon_Ko]

I was expecting it to be green.

[ArsenLapin1]

I think you will figure out the answer more easily if you try koans with more stones and on a bigger board.

[Jon_Ko]

I don’t know, bigger boards mean more possibilities.

[ArsenLapin1]

Both green

• Koans are valid go positions on any rectangular board
• You can post koans or rule guesses; in the case of a wrong rule guess I will provide one or more counterexamples.

Green

Red

[Jon_Ko]

Maybe those will give green koans without clamps.

[ArsenLapin1]

Both red

[LKSFRZ]

I have a slightly ridiculous rule guess, but it took a long time to find one at all, so here we go:

There is a black chain with exactly two liberties. Neither of those liberties can be on the second line.

[ArsenLapin1]

@LKSFRZ

There is a black chain with exactly two liberties. Neither of those liberties can be on the second line.

Counter examples:

[LKSFRZ]

Does 765 on a smaller board make a difference?:
Are the 4 white stones of 763 important?:

[ArsenLapin1]

Both red

[Jon_Ko]

@LKSFRZ

There is a black chain with exactly two liberties. Neither of those liberties can be on the second line.

Is there any red 5x5 koan that satisfies this rule?

[ArsenLapin1]

@Jon_Ko

@LKSFRZ

There is a black chain with exactly two liberties. Neither of those liberties can be on the second line.

Is there any red 5x5 koan that satisfies this rule?

Yup:

[Jon_Ko]

[ArsenLapin1]

I suggest adding more stones!

[Jon_Ko]

Let me play with the number of stones and liberties of koan 763.

[ArsenLapin1]