DOWN
For "Down" as a direction on the board see Up and down
In Combinatorial Game Theory DOWN is the name of an infinitesimal, also written ↓. DOWN is defined as
- `` darr = { ast | 0 } ``
Left (Black) can play to `` ast `` (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.
This position chills to 1↓ (1 plus DOWN). White can get tedomari locally, no matter who plays first.
White to play can simply fill, of course, leaving no further play.
![[Diagram]](../../diagrams/10/b388f65b8d008890355aa15b76766565.png)
![[Diagram]](../../diagrams/46/6886fd9e853d473ddd5b58eadd677860.png)
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