Sphere packings V
| dc.creator | Ferguson, Samuel P. | |
| dc.date | 1998-11-11 | |
| dc.date.accessioned | 2026-07-07T05:26:50Z | |
| dc.date.available | 2026-07-07T05:26:50Z | |
| dc.description | The Hales program to prove the Kepler conjecture on sphere packings consists of five steps, which if completed, will jointly comprise a proof of the conjecture. We carry out step five of the program [outlined in math.MG/9811073], a proof that the local density of a certain combinatorial arrangement, the pentahedral prism, is less than that of the face-centered cubic lattice packing. We prove various relations on the local density using computer-based interval arithmetic methods. Together, these relations imply the local density bound. | |
| dc.description | 54 pages. Seventh in a series beginning with math.MG/9811071. The author's home page is http://www.math.lsa.umich.edu/~samf/ | |
| dc.identifier | https://arxiv.org/abs/math/9811077 | |
| dc.identifier | http://arxiv.org/abs/math/9811077 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77702 | |
| dc.subject | Metric Geometry | |
| dc.title | Sphere packings V | |
| dc.type | text |