A proof of the dodecahedral conjecture

Details A proof of the dodecahedral conjecture A proof of the dodecahedral conjecture

1998-11-11

arxiv.org/abs/math/9811079v3

Mathematics

Metric Geometry

49 pages. The text has been completely rewritten in this version. The mathematical argument is the same as that presented in e

Scientific paper

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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