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One More Number
Path: CGTPath   · Prev: YetAnotherNumber   · Next: IntroductionToInfinitesimals
    Keywords: EndGame

This position chills to +1 3/8.

[Diagram]
One more number


White can play to a position worth +1/2 (chilling to +1 1/2).

[Diagram]
White plays first

The key point now is a.



Black can play to a position worth +2 1/4 (chilling to +1 1/4).

[Diagram]
Black plays first


To evaluate the Black follower, let's look at its Black and White followers.

[Diagram]
Black plays twice

B3 reverses to a position worth +3 (chilling to +1).



[Diagram]
White responds

W4 reverses to a position worth +1 1/2. (The chilled value is the same, since each player has made the same number of plays.)



The Black follower, chilled, is

                    { 1 | 1 1/2} = 1 1/4

So the original position, chilled, is

                    { 1 1/4 | 1 1/2} = 1 3/8

--BillSpight



Path: CGTPath   · Prev: YetAnotherNumber   · Next: IntroductionToInfinitesimals
This is a copy of the living page "One More Number" at Sensei's Library.
(OC) 2004 the Authors, published under the OpenContent License V1.0.