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Discrete & Computational Geometry

, Volume 36, Issue 1, pp 5–20 | Cite as

Historical Overview of the Kepler Conjecture

  • Thomas C. Hales
Article

Abstract

This paper is the first in a series of six papers devoted to the proof of the Kepler conjecture, which asserts that no packing of congruent balls in three dimensions has density greater than the face-centered cubic packing. After some preliminary comments about the face-centered cubic and hexagonal close packings, the history of the Kepler problem is described, including a discussion of various published bounds on the density of sphere packings. There is also a general historical discussion of various proof strategies that have been tried with this problem.

Keywords

Computational Mathematic Close Packing Historical Overview Sphere Packing Kepler Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of Mathematics, University of Pittsburgh,Pittsburgh, PA 15217 USA

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