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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© 2010 Springer Science+Business Media, LLC
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Bezdek, K. (2010). Finite Packings by Translates of Convex Bodies. In: Classical Topics in Discrete Geometry. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0600-7_2
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DOI: https://doi.org/10.1007/978-1-4419-0600-7_2
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