Unsolved Problems

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This page is intended to keep track of all the problems without a definite solution. It is time to do some homework. ;)

We request that whoever posed the problem make a solutions page after the attempts have been given and discussion ended.

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Life and death

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Beginners Endgame Exercises

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Computer Go Programming

Problems of Go Rules Theory?

  • Consider area scoring under, say, Tromp-Taylor Rules. Which percentage of all legal games has an even / odd score?
  • Consider territory scoring under, say, New Amateur-Japanese Rules. Which percentage of all legal games has an even / odd score?
  • Compare area and territory scoring. For which is the percentage of all legal games' even scores greater and by how much?

RobertJasiek 2005-01-21: I have offered a prize (a free copy of all volumes of my yet to be written Go Rules Encyclopedia) for the previous question if answered by a mathematical proof. It has been unclaimed for ca. 8 years now.

Background: Experience seems to suggest that under area scoring games with an odd number of not scored intersections (in sekis) in the game end position are scarce. Is this also so in theory? Due to this experience, komi for area scoring are 1.5, 3.5, 5.5, 7.5, 9.5, etc. but not 0.5, 2.5, 4.5, 6.5, 8.5, etc. (in even games on odd boards without or with an odd handicap) and usually in practice closest scores differ by 2, while under territory scoring they differ by 1. Can this experience be justified by theory or is it just a sign of how weak human play is?


This is a copy of the living page "Unsolved Problems" at Sensei's Library.
(OC) 2007 the Authors, published under the OpenContent License V1.0.
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