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Dodecahedral Conjecture

In any unit Sphere Packing, the volume of any Voronoi Cell around any sphere is at least as large as a regular Dodecahedron of Inradius 1. If true, this would provide a bound on the densest possible sphere packing greater than any currently known. It would not, however, be sufficient to establish the Kepler Conjecture.

© 1996-9 Eric W. Weisstein