On minimum kissing numbers of finite translative packings of a convex body (Q1856596)
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scientific article; zbMATH DE number 1866006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On minimum kissing numbers of finite translative packings of a convex body |
scientific article; zbMATH DE number 1866006 |
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On minimum kissing numbers of finite translative packings of a convex body (English)
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10 February 2003
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For a convex body \(K\), denote by \(t(K)\) the largest number for which there exists a finite packing of translates of \(K\) in which each translate has at least \(t(K)\) neighbours. In the paper under review, the author finds \(t(K)\) for \(K\) being a convex disc of the 3-dimensional convex cylinder. The cardinalities of extremal packings are discussed as well.
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finite packings
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kissing numbers
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