Singularity Chess is a chess variant in which the squares on the chessboard are no longer square and the space between squares is curved. (As cool as this is, I was kind of disappointed the first time I heard of it that Singularity Chess wasn’t chess played by super powerful AIs).
Since the board layout is a “curved space,” straight moves and diagonal moves have to be defined locally instead of globally. A straight move can be defined as a move which enters a “square” through one side, and may continue on to exit the “square” through the opposite (nonadjacent) side. A diagonal move can be defined as a move which enters a “square” through one corner, and may continue on to exit the “square” through the opposite (nonadjacent) corner.
This can lead to some insane situations where a rook can essentially move and return to its starting position, etc. This looks like it would quickly become headache inducing.
