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Dense sphere packings : a blueprint for formal proofs

Author: Thomas Callister Hales
Publisher: Cambridge ; New York : Cambridge University Press, ©2012.
Series: London Mathematical Society lecture note series, 400.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in discrete geometry,  Read more...
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Details

Document Type: Book
All Authors / Contributors: Thomas Callister Hales
ISBN: 9780521617703 0521617707
OCLC Number: 793221654
Description: xiv, 271 p. : ill. ; 23 cm.
Contents: 1. Close packing --
2. Trigonometry --
3. Volume --
4. Hypermap --
5. Fan --
6. Packing - -7. Local fan --
8. Tame hypermap --
Appendix.
Series Title: London Mathematical Society lecture note series, 400.
Responsibility: Thomas C. Hales.

Abstract:

The definitive account of the recent computer solution of the oldest problem in discrete geometry.  Read more...
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