Monatshefte für Mathematik

, Volume 86, Issue 3, pp 185–188

On multiple space subdivisions by zonotopes


  • H. Groemer
    • Department of MathematicsThe University of Arizona

DOI: 10.1007/BF01659718

Cite this article as:
Groemer, H. Monatshefte für Mathematik (1978) 86: 185. doi:10.1007/BF01659718


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 sequenceC1,C2,... of translates ofC such that every point ofd-space that is not a boundary point of someCi is in exactlyk of the setsC1,C2,...

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© Springer-Verlag 1978