The densest packing of equal circles into a parallel strip (Q756140)
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scientific article; zbMATH DE number 4190578
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The densest packing of equal circles into a parallel strip |
scientific article; zbMATH DE number 4190578 |
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The densest packing of equal circles into a parallel strip (English)
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1991
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Given an infinite strip S of width w in the euclidean plane one can ask for the densest packing of points in S for which any two distinct points have distance at least 1. The exact answer has been known for \(\omega\leq \sqrt{2}\) and for \(w=n\sqrt{3}/2\) with n an integer. The author determines the maximal density for the case \(\sqrt{3}/2<w\leq \sqrt{3}\).
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circle packings
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infinite strip
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densest packing
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maximal density
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