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The thirteen spheres: a new proof

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Publication:1889917
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DOI10.1007/s00454-003-0819-2zbMath1126.52017OpenAlexW2044933319MaRDI QIDQ1889917

Kurt M. Anstreicher

Publication date: 13 December 2004

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-003-0819-2


zbMATH Keywords

linear programming boundsGregory-Newton problemspherical Delaunay triangulations


Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15)


Related Items (11)

The problem of thirteen spheres -- a proof for undergraduates ⋮ The Tammes Problem for N = 14 ⋮ On an SDP relaxation for kissing number ⋮ A short solution of the kissing number problem in dimension three ⋮ Tammes problem and contact number for spheres in spaces of constant curvature ⋮ The strong thirteen spheres problem ⋮ Packing, covering and tiling in two-dimensional spaces ⋮ Extremal problems of circle packings on a sphere and irreducible contact graphs ⋮ Enumeration of irreducible contact graphs on the sphere ⋮ Sphere packings revisited ⋮ An Approach to the Dodecahedral Conjecture Based on Bounds for Spherical Codes







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