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tony paletta wrote on Wed, Jan 15, 2003 03:53 PM UTC:
Should compare this to my Hexoid Chess and Rex Chess (both hexagonal on 8x8
standard chessboard) or Tetragonal Chess (more an inspired by; rotate the
board, but retain hex-type movement) -- all 'modest chess' variants (piece
variants) buried somewhere on CVP. One difference: I use Q as a third
bishop to offset bishops only covering 2/3 of board in Hexoid Chess (and
also because Glinski-type hex-Q is a killer on 8x8 board). I also felt
that directions are much easier if board is rotated 45 degrees, so a1
points at White.

By the way, a similar translation can be made for 'Triangular Chess':
imagine all dark squares are equivalent to equilateral or isosceles
triangles with edges horizontal and 'pointing' at Black. Pieces move
differently on dark squares than on light squares -- on dark squares on
type of N is >Black as [v2, h1], >White as [v1, h2] and horizontally as
[h3, v0], and reverses White-Black move pattern if on a light square.
Probably no more than one Trigonite type per game is best (Trigonic Knight
Chess?). Reversing imagined direction of 'pointing' gives a second type of
crabbish Knight.

This opens up the possibility of a three-geometry chessboard game -- if
only as a sort of unified (playing) field theory.

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