Bounds for Local Density of Sphere Packings and the Kepler Conjecture

Details Bounds for Local Density of Sphere Packings and the Kepler Conjecture Bounds for Local Density of Sphere Packings and the Kepler Conjecture

2000-08-18

arxiv.org/abs/math/0008151v1

Discrete & Computational Geometry 27 (2002), 165--193.

Mathematics

Metric Geometry

27 pages, latex, 1 figure

Scientific paper

This paper describes the local density inequality approach to getting upper bounds for sphere packing densities in R^n. This approach was first suggested by L. Fejes-Toth in 1956 to prove the Kepler conjecture that the densest sphere packing in R^3 is the "cannonball packing". The approaches of L. Fejes-Toth, W.-Y. Hsiang, and T. Hales to the Kepler conjecture are each based on (different) local density inequalities. Recently T. Hales and S. P. Ferguson have presented extensive details carrying out a modified version of the otrignal Hales approach to prove the Kepler conjecture. We describe the particular local density inequality undelying the Hales and Ferguson approach and sketch some features of their proof.

Affiliated with

Also associated with

No associations

Rating

Bounds for Local Density of Sphere Packings and the Kepler Conjecture does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bounds for Local Density of Sphere Packings and the Kepler Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounds for Local Density of Sphere Packings and the Kepler Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125726