Covering the sphere with equal circles (Q2358817)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Covering the sphere with equal circles |
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Covering the sphere with equal circles (English)
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16 June 2017
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Given \(n\), how can a 2-sphere be covered by \(n\) congruent circles with a radius as small as possible? The author proves that an arrangement of eight circles found by Schütte is optimal and provides the solution for \(n=8\) [\textit{K. Schütte}, Math. Ann. 129, 181--186 (1955; Zbl 0066.14403)]. Also determined is the combinatorial type of a solution for \(n=9\).
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circle covering
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sphere
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Schütte arrangement
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spherical arrangement
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