Pinwheel Ko

  Difficulty: Expert   Keywords: Ko

Pinwheel Ko, both the name and the position, was invented by Bill Taylor, a mathematician living in New Zealand.

[Diagram]
Pinwheel ko (White to play)  

This diagram shows a pinwheel ko on a 3x3 board. If White captures at a, then Black must capture at b in order to avoid losing all his stones, and White must then capture at c, and so on. Under Japanese rules, the position keeps spinning around until the players agree to void the game. Under the superko rule, one player will eventually be prohibited from continuing the pinwheel, and so will lose.

[Diagram]
9x9 Pinwheel (White to play)  

Both sides are committed to the pinwheel here, because if either deviates to kill a one-eyed group, the opponent kills two groups, and wins. (Never mind how we got here.)


Superko Violating Cycle
In the absence of any Superko rules


Pinwheel Ko last edited by 84.175.166.122 on January 17, 2013 - 14:08
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