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I've thought that it would be interesting to play amazons on a cylindrical board or spherical board. In a cylindrical board the left and right edges of the board are connected. Thus meaning an amazon on A1 could move LEFT to H1 even if there was an arrow on B1. However it could not move to H1 if there was an arrow on B1 and J1. In a spherical board the top and bottom edges are also connected.
I think that play on the cylindrical board would be better than on a spherical board. Cylindrical amazons I believe would add to the strategy and help the games last longer before being decided.
What are your thoughts?
@clark94 what you call “spherical” is usually called toroidal (like the Go 11x11 we have here).
Interesting… I've always thought that the board was never very spherical. Thank you for correcting me.
You can also make the board spherical, e.g. by glueing the left and top sides on the one hand and the right and bottom sides on the other hand; that would give a sphere with the poles at the upper left and bottom right.
Other possibilities: the Möbius strip, the Klein bottle and the real projective plane. Not easy to master on the first try (-: