Symmetry in chaos : a search for pattern in mathematics, art and nature

Bibliographic Information

Symmetry in chaos : a search for pattern in mathematics, art and nature

Michael Field and Martin Golubitsky

Oxford University Press, 1995, c1992

  • : pbk

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Note

Bibliography: p. [216]

Includes index

Description and Table of Contents

Description

This work illustrates the many varied and beautiful pictures that may be produced when the seemingly contradictory ideas of symmetry and chaos are combined. The mathematical ideas behind these pictures are presented in an elementary fashion, and computer programs are provided in appendices. These programs allow the reader to generate on a home computer black-and-white versions of the many patterns shown throughout this book.

Table of Contents

Preface. Introduction. 1: Planar symmetries. 2: Patterns everywhere. 3: Chaos in symmetry creation. 4: Symmetric icons. 5: Quilts. 6: Symmetric fractals. Appendix I: Picture parameters. Appendix II: Basic programs. Appendix III: Icon mappings. Appendix IV: Planar Lattices. Bibliography

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