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Rigidity and the chess board theorem for cube packings

组合数学 2009-02-12 v2 度量几何

摘要

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.

关键词

引用

@article{arxiv.math/0610693,
  title  = {Rigidity and the chess board theorem for cube packings},
  author = {Andrzej P. Kisielewicz and Krzysztof Przesławski},
  journal= {arXiv preprint arXiv:math/0610693},
  year   = {2009}
}

备注

7 pages, 3 figures, corrections made, expanded content