Sphere packings IV
| dc.creator | Hales, Thomas C. | |
| dc.date | 1998-11-11 | |
| dc.date | 2002-05-20 | |
| dc.date.accessioned | 2026-07-07T05:26:50Z | |
| dc.date.available | 2026-07-07T05:26:50Z | |
| dc.description | This is the sixth in a series of papers giving a proof of the Kepler conjecture, which asserts that the density of a packing of congruent spheres in three dimensions is never greater than $π/\sqrt{18}\approx 0.74048...$. This is the oldest problem in discrete geometry and is an important part of Hilbert's 18th problem. An example of a packing achieving this density is the face-centered cubic packing. This paper completes part of the fourth step of the program outlined in math.MG/9811073: A proof that if some standard region has more than four sides, then the star scores less than $8 \pt$. | |
| dc.description | 53 pages. Sixth in a series beginning with math.MG/9811071 | |
| dc.identifier | https://arxiv.org/abs/math/9811076 | |
| dc.identifier | http://arxiv.org/abs/math/9811076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77701 | |
| dc.subject | Metric Geometry | |
| dc.title | Sphere packings IV | |
| dc.type | text |