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arxiv: math/9811079 · v3 · submitted 1998-11-11 · 🧮 math.MG

A proof of the dodecahedral conjecture

classification 🧮 math.MG
keywords conjecturedodecahedralproofvolumeauthorsdodecahedronequalfollowing
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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.)

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