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Historical Overview of the Kepler Conjecture

In: The Kepler Conjecture

Author

Listed:
  • Thomas C. Hales

    (University of Pittsburgh, Department of Mathematics)

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.

Suggested Citation

  • Thomas C. Hales, 2011. "Historical Overview of the Kepler Conjecture," Springer Books, in: Jeffrey C. Lagarias (ed.), The Kepler Conjecture, chapter 3, pages 65-82, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1129-1_3
    DOI: 10.1007/978-1-4614-1129-1_3
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