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Torus Chess (The Shape of Space). Chess on a torus from the book "The Shape of Space". (8x8, Cells: 64) [All Comments] [Add Comment or Rating]
Bob Greenwade wrote on Fri, Mar 8 04:31 PM UTC in reply to A. M. DeWitt from 04:08 PM:

What if you turned the one bishop into an Anglican Bishop, which moves as a Bishop or moves without capturing one step orthogonally? This allows it to reach all squares on the board while keeping its attacking range the same.

A similar thought occurred to me. It's a fairly elegant solution.