Rigidity and the chess board theorem for cube packings
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Each packing of R^d by translates of the unit cube [0,1)^d admits a decomposition into at most two parts such that if a translate of the unit cube is covered by one of them, then it also belongs to such a part.
7 pages, 3 figures, corrections made, expanded content
7 pages, 3 figures, corrections made, expanded content