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Item Details
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THE MATHEMATICS OF LONG-RANGE APERIODIC ORDER
PROCEEDINGS OF THE NATO ADVANCED STUDY INSTITUTE, THE FIELDS INSTITUTE, WATERLOO, ONTARIO, CANADA, AUGUST 21-SEPTEMBER 1, 1995 |
| By: |
R.V. Moody (Editor) |
| Format: |
Hardback |
| List price:
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£319.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0792345061 |
| ISBN 13: |
9780792345060 |
| Publisher: |
KLUWER ACADEMIC PUBLISHERS |
| Pub. date: |
31 March, 1997 |
| Edition: |
1997 ed. |
| Series: |
NATO Science Series C 489 |
| Pages: |
556 |
| Description: |
Proceedings of the NATO Advanced Study Institute, The Fields Institute, Waterloo, Ontario, Canada, August 21-September 1, 1995 |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
US |
| Imprint: |
Kluwer Academic Publishers |
| Returns: |
Returnable |
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