Sphere packings II
| dc.creator | Hales, Thomas C. | |
| dc.date | 1998-11-11 | |
| dc.date.accessioned | 2026-07-07T05:26:50Z | |
| dc.date.available | 2026-07-07T05:26:50Z | |
| dc.description | An earlier paper describes a program to prove the Kepler conjecture on sphere packings. This paper carries out the second step of that program. A sphere packing leads to a decomposition of $R^3$ into polyhedra. The polyhedra are divided into two classes. The first class of polyhedra, called quasi-regular tetrahedra, have density at most that of a regular tetrahedron. The polyhedra in the remaining class have density at most that of a regular octahedron (about 0.7209). | |
| dc.description | 18 pages. Second of two older papers in the series on the proof of the Kepler conjecture. See math.MG/9811071. The original abstract is preserved | |
| dc.identifier | https://arxiv.org/abs/math/9811074 | |
| dc.identifier | http://arxiv.org/abs/math/9811074 | |
| dc.identifier | Discrete Comput. Geom. 18 (1997), 135-149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77699 | |
| dc.subject | Metric Geometry | |
| dc.title | Sphere packings II | |
| dc.type | text |