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Chess Geometry[Subject Thread] [Add Response]
Ben Reiniger wrote on Tue, Jan 28, 2014 07:26 PM UTC:
Pritchard mentions in CECV a game with a similar topologically-pentagonal
but geometrically-"doubling" board.  It is called the Fourth Dimension,
but has no 4d characteristics.  It is played on a round board with
concentric ranks of 4, 8, 16, and 32 cells, a generic cell having one
neighbor in the next rank inward, two neighbors on its own rank, and two
neighbors in the next rank outward.  The pieces don't seem to be
particularly chesslike.

(Maybe this round version could be realized as almost a pentagonal tiling
of the hyperbolic plane?)