The Chess Variant Pages

Check out Expanded Chess, our

featured variant for September, 2023.

[ Help | Earliest Comments | Latest Comments ]
[ List All Subjects of Discussion | Create New Subject of Discussion ]
[ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]

Single Comment

Catastrophic 8x8 Chess. Mathematician Missoum gives a new type of chessboard.[All Comments] [Add Comment or Rating]
Jianying Ji wrote on 2008-04-11 UTC
Rich I think is more correct, this is an attempt to use catastrophe theory to chess. I'm not sure it succeed in anyway. Essentially the author is arguing  that if a move is bad if it crosses a fold in the 'evaluation surface', that  is the surface created by giving every square a value depending on its importance. The surface is then warped to show moves that would cause irreversible changes in evaluation. 

Missoum applies this to one move in one game which allows for the nice graphics he drew. However as a general theory I do not see how one would begin to create one. 

Personally some kind of quantum set theory or more classically combinatoric game theory is far more apt.