Dense sphere packings : a blueprint for formal proofs
著者
書誌事項
Dense sphere packings : a blueprint for formal proofs
（London Mathematical Society lecture note series, 400）
Cambridge University Press, 2012
- : pbk
大学図書館所蔵 全45件
注記
Includes bibliographical references (p. [261]-263) and indexes
内容説明・目次
内容説明
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.
目次
- 1. Close packing
- 2. Trigonometry
- 3. Volume
- 4. Hypermap
- 5. Fan
- 6. Packing
- 7. Local fan
- 8. Tame hypermap
- 9. Further results.
「Nielsen BookData」 より