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Raumschach. The classical variant of three-dimensional chess: 5 by 5 by 5. (5x(5x5), Cells: 125) (Recognized!)[All Comments] [Add Comment or Rating]
Anonymous wrote on Mon, Dec 25, 2006 09:59 PM UTC:
The unicorn's weakness is certainly a problem, but I think there is a way to solve it. It appears that this problem affects any regular Euclidian field, and there is no way to solve it by altering the piece. It seems to me that any basic pieces such as the rook, bishop, and unicorn should have a 1:1 board coverage ratio. I have found that this is achievable if you use the Riemannian definition of a plane, which states that it is essentially a sphere (not including its interior). The only problem with this is that to accurately portray a third dimension in this space, you must organize spherical boards in a circle and define two corresponding points on adjacent spheres as being adjacent to each other. This is fine technically, but would probably only be practical in a computer program (not sure if it could even be done with Zillions) and could be somewhat hard to visualize.