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Finite Packings by Translates of Convex Bodies

  • Károly Bezdek
Chapter
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

Let K be a convex body (i.e., a compact convex set with nonempty interior) in d-dimensional Euclidean space \(\mathbb{E}^d\), d ≥ 2. Then the Hadwiger number H(K) of K is the largest number of non-overlapping translates of K that can all touch K. An elegant observation of Hadwiger [154] is the following.

Keywords

Convex Body Symmetric Convex Body Contact Graph Homothetic Copy Elegant Paper 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

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