The problem of thirteen spheres -- a proof for undergraduates

DOI10.1016/j.ejc.2006.06.019zbMath1123.51026OpenAlexW2045481424MaRDI QIDQ2372436

Yanyan Li

Publication date: 27 July 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.06.019

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items

The Tammes Problem for N = 14 ⋮ A short solution of the kissing number problem in dimension three ⋮ Tammes problem and contact number for spheres in spaces of constant curvature ⋮ Metric Geometries in an Axiomatic Perspective ⋮ The strong thirteen spheres problem ⋮ Extremal problems of circle packings on a sphere and irreducible contact graphs ⋮ Enumeration of irreducible contact graphs on the sphere ⋮ Towards a proof of the 24-cell conjecture

Cites Work

• Sphere packings. (Edited by John Talbot)
• The thirteen spheres: a new proof
• The kissing number in four dimensions
• The kissing problem in three dimensions
• Das Problem der dreizehn Kugeln
• The Problem of the Thirteen Spheres
• On the Densest Packing of Spherical Caps
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