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Combinatorial packing and covering

Most popular at the top

  • The Kepler Conjectureby Jeffrey C. Lagarias

    Springer 2011; US$ 74.95

    The 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...

  • Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler's Conjectureby W Y Hsiang

    World Scientific Publishing Company 2001; US$ 163.00

    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/√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 Pursuit of Perfect Packingby Denis Weaire; Tomaso Aste

    Taylor and Francis 2000; US$ 44.95

    In 1998 Thomas Hales dramatically announced the solution of a problem that has long teased eminent mathematicians: what is the densest possible arrangement of identical spheres? The Pursuit of Perfect Packing recounts the story of this problem and many others that have to do with packing things together. The examples are taken from mathematics, physics,... more...

  • Finite Packing and Coveringby Károly Jr Böröczky

    Cambridge University Press 2004; US$ 101.00

    This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies. more...

  • The Pursuit of Perfect Packing, Second Editionby Denis Weaire; Tomaso Aste

    Taylor and Francis 2008; US$ 75.95

    Coauthored 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...

  • Covering Codesby G. Cohen; I. Honkala; S. Litsyn; A. Lobstein

    Elsevier Science 1997; US$ 260.00

    The 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 Spheresby T. Ericson; V. Zinoviev

    Elsevier Science 2001; US$ 210.00

    Codes 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...

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