A proof of the dodecahedral conjecture
度量几何
2008-08-09 v3
摘要
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.)
引用
@article{arxiv.math/9811079,
title = {A proof of the dodecahedral conjecture},
author = {Thomas C. Hales and Sean McLaughlin},
journal= {arXiv preprint arXiv:math/9811079},
year = {2008}
}
备注
49 pages. The text has been completely rewritten in this version. The mathematical argument is the same as that presented in earlier versions