A proof of the dodecahedral conjecture

Thomas C. Hales; Sean McLaughlin

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A proof of the dodecahedral conjecture

Thomas C. Hales·Sean McLaughlin

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Abstract

The dodecahedral conjecture states that the volume of the Voronoi polyhedron of a sphere in a packing of equal spheres is at least the volume of a regular dodecahedron with inradius 1. The authors prove the conjecture following the methodology of the proof the Kepler conjecture. (See math.MG/9811071.)

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BibTeX RIS

Thomas C. Hales, Sean McLaughlin. 2008-08-09. A proof of the dodecahedral conjecture. https://arxiv.org/abs/math/9811079

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