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A Revision of the Proof of the Kepler Conjecture

In: The Kepler Conjecture

Author

Listed:
  • Thomas C. Hales

    (University of Pittsburgh, Math Department)

  • John Harrison

    (Intel Corporation, JF1-13)

  • Sean McLaughlin

    (Carnegie Mellon University)

  • Tobias Nipkow

    (Technische Universität München, Department for Informatics)

  • Steven Obua

    (Technische Universität München, Department for Informatics)

  • Roland Zumkeller

    (École Polytechnique)

Abstract

The Kepler conjecture asserts that no packing of congruent balls in threedimensional Euclidean space has density greater than that of the face-centered cubic packing. The original proof, announced in 1998 and published in 2006, is long and complex. The process of revision and review did not end with the publication of the proof. This article summarizes the current status of a long-term initiative to reorganize the original proof into a more transparent form and to provide a greater level of certification of the correctness of the computer code and other details of the proof. A final part of this article lists errata in the original proof of the Kepler conjecture.

Suggested Citation

  • Thomas C. Hales & John Harrison & Sean McLaughlin & Tobias Nipkow & Steven Obua & Roland Zumkeller, 2011. "A Revision of the Proof of the Kepler Conjecture," Springer Books, in: Jeffrey C. Lagarias (ed.), The Kepler Conjecture, chapter 9, pages 341-376, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1129-1_9
    DOI: 10.1007/978-1-4614-1129-1_9
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