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The Pursuit of Perfect Packing
CRC Press 2000; US$ 44.95In 1998 Thomas Hales dramatically announced the solution to the problem which has long teased eminent mathematicians: what is the densest possible arrangement of identical spheres? This text recounts the story of this problem and many others which have to do with packing things together. more...
The Pursuit of Perfect Packing
Taylor & Francis 2008; US$ 67.95Coauthored by one of the creators of the most efficient space packing solution, the Weaire???Phelan structure, The Pursuit of Perfect Packing, Second Edition explores a problem of importance in physics, mathematics, chemistry, biology, and engineering: the packing of structures. Maintaining its mathematical core, this edition continues and revises... more...
Finite Packing and Covering
Cambridge University Press 2004; US$ 101.00This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments and provides a comprehensive treatment of problems whose interplay was not clearly understood before. Two-dimensional and higher-dimensional arrangements are discussed separately, arrangements of congruent... more...
Covering Codes
Elsevier Science 1997; US$ 179.00The problems of constructing covering codes and of estimating their parameters are the main concern of this book. It provides a unified account of the most recent theory of covering codes and shows how a number of mathematical and engineering issues are related to covering problems. Scientists involved in discrete mathematics, combinatorics, computer... more...
Codes on Euclidean Spheres
Elsevier Science 2001; US$ 165.00Codes on Euclidean spheres are often referred to as spherical codes. They are of interest from mathematical, physical and engineering points of view. Mathematically the topic belongs to the realm of algebraic combinatorics, with close connections to number theory, geometry, combinatorial theory, and - of course - to algebraic coding theory. The connections... more...
Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler's Conjecture
World Scientific Publishing Company 2001; US$ 88.40The 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/√18. In 1611, Johannes Kepler had already "conjectured" that p/√18 should be the optimal "density" of sphere packings. Thus, the central problems... more...
The Kepler Conjecture
Springer 2011; US$ 59.99The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the "cannonball" packing. In a landmark result,... more...
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