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Chess on an Infinite Plane (hidden). Chess game with no boundaries (infinite board), and Guard, Chancellor, and Hawk.[All Comments] [Add Comment or Rating]
H. G. Muller wrote on Fri, Jan 26, 2018 03:56 PM UTC:

Indeed, for afficionados of cubism this is a very nice design. Personally I would not want to use it for playing, however. And the piece shapes are somewhat reminiscent of the move, in some cases.

The mnemonic piece set designed for the large Shogi variants is based on a similar idea. There the problem is more easily handled, however, because Shogi pieces tend to move in more restricted ways than pieces in western variants; virtually all pieces only have Queen moves, and it is just the range in every direction that varies. So al the piece shapes have to do is encode 8 ranges. (Ad only ranges 0, 1, 2, 3, 5 and infinite occur.)

I don't consider the representation as an intrinsic part of the game, however. Players should just use the representation that feels best for them.