Torus

Torus, Toroidal Boards

In geometry, a torus (plural tori, adjectival toroidal) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

In common parlance most would say that such an object is a doughnut or doughnut-shaped. Modern intelligent board game designers have borrowed upon the mathematical concept of the torus for the design of game boards. An actual torus-shaped board would make game play difficult as it is three-dimensional and some of the counters would need to be placed on the underside of the board. As an idea for inventors, designing a felt toroidal board with Velcro counters might work. The problem can, however, be more easily surmounted by simply saying that a counter that has exited off of one side of the board enters back onto the board at the equivalent position on the opposite side of the board. Imagining a toroidal game board is a lot easier than making one. First, imagine that a flat or planar game board is folded or rolled so that the left side is now adjacent to the right side. Next, taking the tube or cylinder shape, bend it so that the top is now adjacent to the bottom. This is nearly impossible without warping, stretching or folding the board.

A torus shape