A proof of the dodecahedral conjecture

dc.creatorHales, Thomas C.
dc.creatorMcLaughlin, Sean
dc.date1998-11-11
dc.date2008-08-09
dc.date.accessioned2026-07-07T09:55:31Z
dc.date.available2026-07-07T09:55:31Z
dc.descriptionThe 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.)
dc.description49 pages. The text has been completely rewritten in this version. The mathematical argument is the same as that presented in earlier versions
dc.identifierhttps://arxiv.org/abs/math/9811079
dc.identifierhttp://arxiv.org/abs/math/9811079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166656
dc.subjectMetric Geometry
dc.titleA proof of the dodecahedral conjecture
dc.typetext

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