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On multiple space subdivisions by zonotopes

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Abstract

It is shown that everyd-dimensional zonotopeC whose vertices satisfy a certain rationality condition has the following property: There exist a positive integerk and a sequenceC 1,C 2,... of translates ofC such that every point ofd-space that is not a boundary point of someC i is in exactlyk of the setsC 1,C 2,...

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References

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Authors and Affiliations

  1. Department of Mathematics, The University of Arizona, 85721, Tucson, AZ, USA

    H. Groemer

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  1. H. Groemer
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Supported by National Science Foundation Research Grant MCS 76-06111.

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Groemer, H. On multiple space subdivisions by zonotopes. Monatshefte für Mathematik 86, 185–188 (1978). https://doi.org/10.1007/BF01659718

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  • DOI: https://doi.org/10.1007/BF01659718

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