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Rigidity and the chess board theorem for cube packings

Andrzej P. Kisielewicz·Krzysztof Przesławski
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Abstract

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.

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Andrzej P. Kisielewicz, Krzysztof Przesławski. 2009-02-12. Rigidity and the chess board theorem for cube packings. https://arxiv.org/abs/math/0610693

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