Down

    Keywords: Theory

In Combinatorial Game Theory DOWN is the name of an infinitesimal, also written v. DOWN is defined as

          v = { * | 0 }

Left (Black) can play to * (STAR), while Right (White) can play to 0. DOWN is negative, favoring Right, who gets the last play, no matter who goes first. The opposite of DOWN is UP, also written ^.

Some plays with a miai value of 1 chill to DOWN. (See Chilled Go). Here is an example.

[Diagram]

DOWN

This position chills to 1v (1 plus DOWN). White can get tedomari locally, no matter who plays first.


For "Down" as a direction on the board see UpAndDown


This is a copy of the living page "Down" at Sensei's Library.
(OC) 2004 the Authors, published under the OpenContent License V1.0.
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