![]() StartingPoints Paths Referenced by
|
Half Eye
Path: EyesCollection · Prev: EyePoint · Next: EyeSpace A half eye is either an eye or not an eye, depending on who plays first. It is so called because two half eyes are effectively a whole eye, as they are miai.
The marked point is a half eye for Black, because by playing first, it becomes an eye.
White can remove the eye by playing first.
This black group has a half eye at a. The key point is of course b, because if Black can play there, Black will make two real eyes and will live; but if White plays there, White 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) -- Jan de Wit
Bill Spight: See "Eyespace Values in Go" by Howard Landman:
Jan de Wit: 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
This page is part of the Eyes Collection. Path: EyesCollection · Prev: EyePoint · Next: EyeSpace This is a copy of the living page "Half Eye" at Sensei's Library. (C) the Authors, published under the OpenContent License V1.0. |