[PDF.57bf] Least Action Principle of Crystal Formation of Dense Packing Type & the Proof of Kepler's Conjecture

Least Action Principle of Crystal Formation of Dense Packing Type & the Proof of Kepler's Conjecture

[PDF.xn55] Least Action Principle of Crystal Formation of Dense Packing Type & the Proof of Kepler's Conjecture

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 | #11208350 in Books |  2001-01 | Original language:English | PDF # 1 |  8.50 x6.25 x1.25l,.0 | File type: PDF | 300 pages

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|| |The book presents an expostition of the ideas suggested by W Y Hsiang to prove this interesting and difficult conjecture. -- Mathematics Abstracts

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 B/ 18. In 1611, Johannes Kepler had already "conjectured" that B/ 18 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 B/ 18 is the optimal density, and the establishing of th...

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