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Half Eye
A half eye is either an eye or not an eye (false eye), depending on who plays first.
The marked point is a half eye for black, because if he plays first, it becomes an eye.
White can remove the eye if she plays first.
This black group has a half eye at a. The key point is of course b, because if black can play there, he will make two real eyes and will live; but if white plays there, she will kill black by making a a false eye. So the result of this game is
(This is denoted { 2 | 1 } in Combinatorial Game Theory, I believe) -- JanDeWit
BillSpight: See "Eyespace values in go" by Howard Landman:
JanDeWit: Another nice reference is Martin Mueller's Ph.D. thesis "Computer Go as a Sum of Local Games: An Application of Combinatorial Game Theory" which can be found at
See also:
This is a copy of the living page "Half Eye" at Sensei's Library. (C) the Authors, published under the OpenContent License V1.0. |