The Mathematics of Long-Range Aperiodic Order

Language: English

Published by Springer Netherlands, Springer Netherlands Mär 1997, 1997

0792345061 / 9780792345060

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This item is printed on demand - Print on Demand Titel. Neuware -THEOREM: Rotational symmetries of order greater than six, and also five-fold rotational symmetry, are impossible for a periodic pattern in the plane or in three-dimensional space. The discovery of quasicrystals shattered this fundamental 'law', not by showing it to be logically false but by showing that periodicity was not synonymous with long-range order, if by 'long-range order' we mean whatever order is necessary for a crystal to produce a diffraction pat tern with sharp bright spots. It suggested that we may not know what 'long-range order' means, nor what a 'crystal' is, nor how 'symmetry' should be defined. Since 1984, solid state science has been under going a veritable K uhnian revolution. -M. SENECHAL, Quasicrystals and Geometry Between total order and total disorder He the vast majority of physical structures and processes that we see around us in the natural world. On the whole our mathematics is well developed for describing the totally ordered or totally disordered worlds. But in reality the two are rarely separated and the mathematical tools required to investigate these in-between states in depth are in their infancy.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 576 pp. Englisch.…

Seller Inventory # 9780792345060

Title
The Mathematics of Long-Range Aperiodic Order
Author
R. V. Moody
Publisher
Springer Netherlands, Springer Netherlands Mär 1997
Publication year
1997
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792345061
ISBN 13
9780792345060
Item weight
1,021 grams
Dimensions
241x160x36 mm

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