All green
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There are 15 cases so far with a stone on tengen. Only 3 of them are green. Coincidence or some correlation with the rule???
My gut feeling says it’s about liberties and group size and it hasn’t to do anything with tengen. I’d guess we can add an empty line to an empty edge of the board without changing the result. This would allow to move the center of the board away from the stones.
But it’s all just guessing and feeling at this point for me.
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From these two we know that it cannot be purely based on group size and liberties. The rule has to depend on absolute board position in some way.
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You’re both right!
Oh, good point.
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And yet most koans so far have only lone stones! We don’t know much about groups with more than one stone!
So this botched thing is green too?
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Definitely red
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Then this is wrong. (And actually just looking thoroughly at 746 and 750 would have disproved that hypothesis.)
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Let me try to create more greens with stones on tengen then:
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I’ve combined green shapes (once) and it turned out green, now let me combine red and green:
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Green!
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Another test, this time using (partial) reflection, to investigate what matters regarding 783 and 795:
One green, one red:
Hint: The rule is reflection- and rotation-invariant.
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I think posts can only be edited for 30 days, and I’ve been the Universe for far too long already!
- Koans are valid go positions on any rectangular board
- The rule is invariant to rotation and reflection
- You can post koans or rule guesses; in the case of a wrong rule guess I will provide one or more counterexamples.
Green
Red
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A few bonus koans from rounds 1 and 2 at the beginning of this thread:
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