Some new structures for the ``equal circles packing in a square'' problem (Q1574138)
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scientific article; zbMATH DE number 1486862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some new structures for the ``equal circles packing in a square'' problem |
scientific article; zbMATH DE number 1486862 |
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Some new structures for the ``equal circles packing in a square'' problem (English)
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29 May 2001
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The problem of maximizing the size of \(n\) nonoverlapping equal disks in a unit square (this problem is equivalent to maximizing the minimum pairwise distance between \(n\) points in a unit square) and patterns of good such packings are considered. Earlier results, in particular packings constructed by \textit{K. J. Nurmela, P. R. J. Östergård} and \textit{R. aus dem Spring} [Can. Math. Bull. 42, No. 3, 380-385 (1999; Zbl 0938.52015)] are discussed, and some new observations regarding patterns of small best known packings are presented.
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packings of equal disks
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patterns of packings
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