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3D Chess, a Different Way of Looking at It. A scheme for a geometric translation of 2d piece moves into 3d.[All Comments] [Add Comment or Rating]
David Howe wrote on 2002-05-01 UTCGood ★★★★
This is an interesting idea. Here's a logical extension of it: <p>In 2d chess (thinking in the abstract), pieces are 0 dimensional (ie. points) that move in a line (1 dimensional movement). <p>Perhaps in 3d chess, pieces could be 1 dimensional (ie. line segments) that move (as suggested) in a 2 dimensional plane. Their direction of movement would be constant, it would simply be their area of movement that would cover a two dimensions. <p>In the diagram below, the 3d Rook piece at [a1,d1] could move to [a2,d2] or [a3,d3]. It would be blocked by the 3d Bishop piece at [c4,d4]. It could, however move to [a1,d1] on the next level up, assuming no friendly pieces are blocking it. However for the 3d Rook to move to the other half of the board (ie. files e-h) it might have to rotate. Or then again, perhaps in that direction it only covers a single rank instead of a plane. <pre> +---+---+---+---+ | | | | | 6 +---+---+---+---+ | | | | | 5 +---+---+---+---+ | | |---B---| 4 +---+---+---+---+ | | | | | 3 +---+---+---+---+ | | | | | 2 +---+---+---+---+ |-------R-------| 1 +---+---+---+---+ a b c d </pre>