From Nim
to Go
to Surreal Numbers









































Nim












Partizan games

Nim is an impartial game, because both players have the same 'moves'.
Go is a partizan game, because it has different 'moves' for each player.









Go end-game

(No life-and-death situations left)



(White to play and win)

David Wolfe (link)

video

Experiments in Computer Go Endgames
by Martin Müller and Ralph Gasser
(PDF)

Generalized Thermography: Algorithms, Implementation, and Application to Go Endgames
by Martin Müller, Elwyn Berlekamp, and Bill Spight
(PDF)











Combining 'games'












Miai counting










Domineering




Game definition

{ left-moves | right-moves }









Adding games










Surreal numbers










Are they numbers?









Calculator

Input:

Output:

Trace:



















Home | August 2016