A proof of the dodecahedral conjecture

Preprint

9 August 2008

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9811079

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.)

Keywords

DODECAHEDRAL CONJECTURE
SEE MATH.MG/9811071
KEPLER CONJECTURE
CONJECTURE STATES
AUTHORS PROVE
METHODOLOGY
POLYHEDRON
REGULAR

All Related Versions

Version 1, 1998-11-11, ArXiv
Version 2, 2002-06-06, ArXiv
Version 3, 2008-08-09, ArXiv

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