Historical Overview of the Kepler Conjecture

Thomas C. Hales ()
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Thomas C. Hales: University of Pittsburgh, Department of Mathematics

Chapter 3 in The Kepler Conjecture, 2011, pp 65-82 from Springer

Abstract: 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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1129-1_3

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DOI: 10.1007/978-1-4614-1129-1_3

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