A formulation of the Kepler conjecture
度量几何
2007-05-23 v2
摘要
This is the second 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 . 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 defines a local formulation of the conjecture which is used in the proof.
引用
@article{arxiv.math/9811072,
title = {A formulation of the Kepler conjecture},
author = {Samuel P. Ferguson and Thomas C. Hales},
journal= {arXiv preprint arXiv:math/9811072},
year = {2007}
}
备注
23 pages. Second in a series beginning with math.MG/9811071