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ChessVA computer program
. Program for playing numerous Chess variants against your PC.[All Comments] [Add Comment or Rating]
H. G. Muller wrote on Fri, Jan 5, 2018 07:20 PM UTC:

I cannot really answer that for ChessV, but Pair-o-Max does it too, and it is quite rivial. You just check if delta_x + delta_y is even for every possible move. Sliding moves are just multiple moves of the basic step, so you only have to test the basic steps. I suppose ChessV does that likewise.

This of course only works on a topologically flat board. If you would have an odd-circumference cylinder, or helical board, it could be uncheckerable, so that there only is a single square shade,

I am not sure how you would determine the meta-color of a square, though. Especially in non-trivial cases like (say) right-handed chiral Knights, which distinguish 5 meta-colors. In principle every point-symmetric piece with 4 moves other than Wazir should have a form of meta-color binding.