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9780198536888

Symmetry in Chaos A Search for Pattern in Mathematics, Art, and Nature

by ;
  • ISBN13:

    9780198536888

  • ISBN10:

    0198536887

  • Format: Paperback
  • Copyright: 1996-08-08
  • Publisher: Oxford University Press
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List Price: $22.50

Summary

In fifty-four colour plates, Symmetry in Chaos illustrates the many variedand beautiful pictures that may be produced when the seemingly contradictoryideas of symmetry and chaos are combined. The mathematical ideas behind thesepictures are presented in an elementary fashion, and computer programs areprovided in appendices. These programs allow the reader to generate on a homecomputer black and white versions of the many and varied patterns shownthroughout this book.The authors had two reasons for writing this book: to present the surprisinglybeautiful and intricate pictures that are produced by combining symmetry andchaos, and to present in as elementary a way as possible the mathematical ideasthat lead to these pictures.

Author Biography


About the Authors:
Michael Field is Reader in Pure Mathematics at the University of Sydney. He has published several books and papers in advanced mathematics. In 1990, he was Visiting Scientist at the Mathematical Sciences Institute, Cornell University.
Martin Golubitsky is Cullen Professor of Mathematics at the University of Houston. He is co-author with Ian Stewart of Fearful Symmetry: Is God a Geometer.

Table of Contents

Preface
Introduction
Planar symmetries
Patterns everywhere
Chaos in symmetry creation
Symmetric icons
Quilts
Symmetric fractals
Picture parameters
Basic programs
Icon mappings
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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