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9780898716726

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

by
  • ISBN13:

    9780898716726

  • ISBN10:

    0898716721

  • Edition: 2nd
  • Format: Nonspecific Binding
  • Copyright: 2009-08-01
  • Publisher: Society for Industrial and Applied Mathematic
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List Price: $74.66

Summary

Symmetry suggests order and regularity whilst chaos suggests disorder and randomness. Symmetry in Chaos is an exploration of how combining the seemingly contradictory symmetry and chaos can lead to the construction of striking and beautiful images. This book is an engaging look at the interplay of art and mathematics, and between symmetry and chaos. The underlying mathematics involved in the generation of the images is described. This second edition has been updated to include the Faraday experiment, a classical experiment from fluid dynamics which illustrates that increasing the vibration amplitude of a container of liquid causes the liquid to form surface waves, instead of moving as a solid body. This second edition also includes updated methods for numerically determining the symmetry of higher dimensional analogues of the images. As well as this, it contains new and improved quality images.

Table of Contents

Introduction to symmetry and chaos
Planar symmetries
Patterns everywhere
Chaos and symmetry creation
Symmetric icons
Quilts
Symmetric fractals
Picture parameters
Icon mappings
Planar lattices
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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