Finite Packings by Translates of Convex Bodies

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.

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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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