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The closest packing of equal circles on a sphere

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Publication:3711259
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DOI10.1098/rspa.1986.0056zbMath0586.52008OpenAlexW1972349492MaRDI QIDQ3711259

D. L. Kepert, B. W. Clare

Publication date: 1986

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1986.0056


zbMATH Keywords

spherecircle packingpacking density


Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)


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Central sections of centrally symmetric convex bodies ⋮ Symmetry break in the eight bubble compaction ⋮ Dense packings of congruent circles in a circle ⋮ Random sequential adsorption of discs on surfaces of constant curvature: plane, sphere, hyperboloid, and projective plane ⋮ Iterated dynamic neighborhood search for packing equal circles on a sphere ⋮ Packing, covering and tiling in two-dimensional spaces ⋮ Assembly and Disassembly of Viral Capsids ⋮ Optimal \(N\)-point configurations on the sphere: ``magic numbers and Smale's 7th problem ⋮ Point vortex equilibria and optimal packings of circles on a sphere



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