?
Stays green!
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So any configuration of white stones without blacks is green.
And as soon as black stones are present, it is red, unless there are white stones that make the black stones āharmlessā.
There are green boards with more white and with more black stones.
But even an empty board is green, this means that the mere presence of the white stones is not required by the Rule.
So, generally, black stones are a necessary condition for Red, and any meaning a white stone can have is dependant on black stones.
Therefore, the Rule answers the question: āUnder what conditions do white stones have the power to neutralize black stones?ā
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I predict the first of these to be red. The other three, I donāt know, but I think either all red or all green. The third and the fourth will be the same, the second I donāt know.
All red!
Wow, didnāt expect that! How about with a single white chain?
Hopefully you are not disappointed, but itās all red again ^^
This one, however ā¦
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Is the rule easier to guess if we use many stones on our board or fewer?
I kinda did, but have no idea why. I am, however surprised about this.
I donāt know the answer to your question, but I can color these Koans for you:
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This sequence is very interesting:
The connections inbetween chains are precisely the same (four white chains, all connected to a single black chain), the only thing that changes are the liberties. The black chain has 4, 4 and then three liberties. The white chains have [2, 2, 2, 2], [2, 2, 1, 1,] and then [1, 1, 1, 1] liberties.
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And on a bigger board with more than 1 white in the centre but without touching the surrounding black stones?
I guess red.
This would be red.
All red?
Is it about shared liberties?
Yes.
Answer
No ^^
I waiting for someone to tell me I need to think of the go board as a torus or a sphere or a klein bottle or somethingā¦
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Does the rule care about the number of stones in each chain?
Formalized: If every chain was replaced by a single node of the same color, with the same connections as the chain had, does this ever affect the rule?