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David Paulowich wrote on Mon, Jan 14, 2008 08:13 PM UTC:

Alice Cubed, invented by L. Lynn Smith, is a 3D extrapolation of V.R.Parton's Alice Chess. Played within two 4x4x4 cubes (thus 128 cells). Can be found on the Zillions web site.

See Alice-Raumschach for a game played on two 5x5x5 cubes. Actually, the Zillions Rule File uses pieces in four colors on a single cube.