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The article's comments about the location of the edge are only correct if the chess pieces are point particles. If pieces are circles with diameter equal to the width of a square (as my set pretty much is), then the normal billiards rule corresponds to the bouncing edge being at the board's edge. This doesn't detract from the author's variants, but his comments about the inelegance of the normal billiards rules seem to be misguided in light of this (more obvious) way of looking at things.