Toroidal Checkers

Bored with playing old fashioned checkers? Try cylindrical checkers. Imagine the board wrapped into a cylinder with the left and right edges brought into adjacency. This means that a checker can move from (say) the third row at the right to the fourth row at the left in one move. Jumps follow the same topological logic. It is not necessary to actually make a board since the new adjacencies quickly become clear. Bored with playing old fashioned cylindrical checkers? Try toroidal checkers. This is similar to cylindrical checkers but with the ends of the cylinder wrapped around so that the king rows are now adjacent. The same rules apply; a single checker can only move along the torus in a counter clockwise direction. Once kinged it can move in either direction.