Skip to content
You are not logged in |Login  
     
Limit search to available items
Record:   Prev Next
Resources
More Information
Bestseller
BestsellerE-book
Author Hsiang, Wu Yi, 1937-

Title Least action principle of crystal formation of dense packing type and Kepler's conjecture / Wu-Yi Hsiang.

Publication Info. Singapore ; River Edge, NJ : World Scientific, 2001.

Item Status

Description 1 online resource (xxi, 402 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Nankai tracts in mathematics ; v. 3
Nankai tracts in mathematics ; v. 3.
Bibliography Includes bibliographical references (pages 397-399) and index.
Contents Foreword; Acknowledgment; List of Symbols; Chapter 1 Introduction; Chapter 2 The Basics of Euclidean and Spherical Geometries and a New Proof of the Problem of Thirteen Spheres; Chapter 3 Circle Packings and Sphere Packings; Chapter 4 Geometry of Local Cells and Specific Volume Estimation Techniques for Local Cells; Chapter 5 Estimates of Total Buckling Height; Chapter 6 The Proof of the Dodecahedron Conjecture; Chapter 7 Geometry of Type I Configurations and Local Extensions; Chapter 8 The Proof of Main Theorem I; Chapter 9 Retrospects and Prospects; References; Index.
Summary The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal "known density" of p/v18. In 1611, Johannes Kepler had already "conjectured" that p/v18 should be the optimal "density" of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that p/v18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of densi.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Kepler's conjecture.
Kepler's conjecture.
Sphere packings.
Sphere packings.
Crystallography, Mathematical.
Crystallography, Mathematical.
Genre/Form Electronic books.
Other Form: Print version: Hsiang, Wu Yi, 1937- Least action principle of crystal formation of dense packing type and Kepler's conjecture. Singapore ; River Edge, NJ : World Scientific, 2001 9810246706 (DLC) 2001045504 (OCoLC)47623942
ISBN 981238491X (electronic book)
9789812384911 (electronic book)