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There are already 50 well-thought comments here. To look at in follow-ups: (1) Huge boards even up to Charles Fort's 1000 squares; (2) Chess Different Armies again; (3) Polypieces that change their type upon each move; (4) Changing the rules entirely once or many times in play a single game.
To the four last time add (5) Partnership Chess Games. In cards I did not check yet how they do it in four-player two-team Bridge whether one or two Computers versus two humans to test Computer dominance. There are other Chess Team games, but here is one made up for this comment.
Two Boards of OrthoChess 64 are good enough. Board 1 is A White B Black, and Board 2 C Black D White clockwise. Say D is the only Computer. Partners are B and D and A and C. Up to two points per round if one team wins both games. Play is synchronized so that each Move 1, 2, 3 each side takes place same time. In lieu of a Move, player may switch places with any *same* piece-type the other board of the same color. So for example, Computer D can make her Move 5 switching Bishop on c1 with corresponding White (non-partner) Bishop on f4, ending the turn with D board 2 Bishop on f4 and A board 1 Bishop back on c1. Now focussing on Computer D, strategy is to win own board but also be sure Partner B does not lose and preferably wins on Board 1. Human players may have an advantage judging performance expectations. In subsequent rounds Computer and everyone else will have different partner and position for White and Black in say a 12-game match.
(6) Neto's Mutators. Mutators, the right Mutator may give programs difficulty.
"There was one huge difference between a brain and a computer. And that's that a computer, if you poured a bucket of water on it, would short out, whereas the brain is wet...." --Miles Herkenham neurologist, 'Mapping the Next Millenium'
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While Game Courier can use cards, using the Knightmare Chess cards would likely be a copyright violation. Although I did make a card-based variant called Magic Chess, I did not program rule enforcement for it. I don't think I have any GAME Code functions for identifying cards in play, and that would be critical for enforcing the rules of a card-based variant.