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Thermograph

 

thermography
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  Difficulty: Advanced   Keywords: EndGame, Ko, Strategy

Bill Spight: The thermograph of a game is a representation of the value of playing in it at different temperatures. The left wall shows what Left (Black) gets by playing first, and the right wall shows what Right (White) gets by playing first.

In ONAG thermographs are defined in terms of a tax on plays, but they may also be defined in terms of minimax play at different temperatures. Doing so allows the computation of the thermograph for a game with multiple kos or superkos. I did that in my paper, "Extended Thermography for Multiple Kos in Go" in Computers and Games 1998, pp. 232-251, Springer Verlag. An extension of the paper appears in Theoretical Computer Science 252(1-2): 23-43 (2001), a journal published by Elsevier.


Bibliography:

Bill Spight: Not such a good introduction, as it is a little advanced. There are also several errors. It was a little advanced for us at the time. ;-) (Just kidding, Martin. The errors are mostly in diagrams and typos.) I recommend
recently republished, or my write-up of the first environmental go game in
  • Spight: "Go thermography: The 4/21/98 Jiang-Rui endgame" in More Games of No Chance, Richard Nowakowski (ed.), Cambridge University Press, 2002


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This is a copy of the living page "thermography" at Sensei's Library.
(OC) 2003 the Authors, published under the OpenContent License V1.0.