A proof of the dodecahedral conjecture
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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.)
49 pages. The text has been completely rewritten in this version. The mathematical argument is the same as that presented in earlier versions
49 pages. The text has been completely rewritten in this version. The mathematical argument is the same as that presented in earlier versions