Monatshefte für Mathematik

, Volume 86, Issue 3, pp 185–188

On multiple space subdivisions by zonotopes

  • H. Groemer

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,...

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • H. Groemer
    • 1
  1. 1.Department of MathematicsThe University of ArizonaTucsonUSA