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The Chess Variant Pages

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Falcon Chess. Game on an 8x10 board with a new piece: The Falcon. (10x8, Cells: 80) [All Comments] [Add Comment or Rating]
Adrian King wrote on 2009-02-04 UTC
>  3-Ds are just 2 or more layers of 2-Ds, unnecessary contrivance, when you could just lay the whole smear end to end in nice flat canvas.

Strictly speaking, of course, 2-dimensional games can also be represented as 1-dimensional games. A 1-dimensional layout is simpler mathematically (and game-playing software often stores a game's positions in a 1-dimensional array), but the human visual system generally does better with 2 dimensions than with either 3 or 1.

Exactly what this says about the relationship between mathematical tidiness and playability, I'm not sure.