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arxiv: math/0610693 · v2 · submitted 2006-10-23 · 🧮 math.CO · math.MG

Rigidity and the chess board theorem for cube packings

classification 🧮 math.CO math.MG
keywords cubeunitadmitsbelongsboardchesscovereddecomposition
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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.

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