Least action principle of crystal formation of dense packing type and Kepler's conjecture /

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Bibliographic Details
Author / Creator:	Hsiang, Wu Yi, 1937-
Imprint:	Singapore ; River Edge, NJ : World Scientific, 2001.
Description:	1 online resource (xxi, 402 pages) : illustrations
Language:	English
Series:	Nankai tracts in mathematics ; v. 3 Nankai tracts in mathematics ; v. 3.
Subject:	Kepler's conjecture. Sphere packings. Crystallography, Mathematical. Crystallography, Mathematical. Kepler's conjecture. Sphere packings. Electronic books. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11119622

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ISBN:	981238491X 9789812384911 9810246706 9789810246709
Notes:	Includes bibliographical references (pages 397-399) and index. Print version record.
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.
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

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