Friday, September 20, 2013

4-D Chess

What would 4-dimensional chess look like? Well, it might be fun to add in the dimension of time. With 2-D, you have a flat, checkerboard surface to play on. 3-D could be a cube, with checkerboard layers and columns. With 4-D, the checkerboards could be in motion, rotating on a spindle. The knight you are trying to capture might not be there by the time your Bishop arrives. Like in real life, whether sitting in a chair on a front porch, or racing in circles in the Indianapolis 500, the players are in motion. Your strategy would have to take into account pieces roving in changing locations.

So how would you play? You could do the math - where would you have to direct your pawn to meet up with the opposing pawn at the same moment. This is doable although complicated. You'd have to know how fast the pieces are going relative to your piece and in what direction. By the time you figure that out, everything might have shifted into a new configuration.

The better players of 4-D might be the lazy, relaxed type. Forget the math. With the boards in motion carrying the chess pieces, a 4-D champ might wander away into the kitchen, water the geranium in the window, grab a soda, and return to move that Bishop at just the moment the knight glides into view.

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