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Dense Sphere Packings : A Blueprint for Formal Proofs.
・ISBN 978-0-521-61770-3 paper GB£ 56.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-139-19389-4
| 著者・編者 | Hales, Thomas, |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2012 |
| ページ数 | 286 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2109＞ |
解説
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, including the strong dodecahedral conjecture on the smallest surface area of a Voronoi cell in a sphere packing. This book is also currently being used as a blueprint for a large-scale formal proof project, which aims to check every logical inference of the proof of the Kepler conjecture by computer. This is an indispensable resource for those who want to be brought up to date with research on the Kepler conjecture.