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Volume 9, Issue 4

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Graphics with Mathematica: Fractals, Julia Sets, Patterns and Natural Forms

Chonat Getz and Janet Helmstedt, 2004, Elsevier, 322 pp., hardcover, includes CD-ROM

ISBN: 044451760X

Graphics with Mathematica: Fractals, Julia Sets, Patterns and Natural Forms

This book gives detailed instructions for constructing interesting 2D and 3D fractals using iterated functions systems in Mathematica. The programs used to generate these graphics are easily adaptable to many variations, and a range of different coloring techniques are introduced. Many different types of Julia sets and parameter sets are constructed, such as the Mandelbrot set. The reader interested in fractals will obtain practice in graphics and coloring in the earlier chapters "Using Color in Graphics" and "Patterns Constructed from Straight Lines."

Highlights include:

  • Brilliant graphic images
  • Interesting introduction to Mathematica for beginners
  • Easy constructions
  • A variety of coloring techniques
  • Programs easily adaptable to many variations
  • Constructions useful for courses in discrete dynamics and fractals

Contents
Basics | Using Color in Graphics | Patterns Constructed from Straight Lines | Orbits of Points under a C -> C Mapping | Using Roman Maeder's Packages Affine Maps, Iterated Function Systems and Chaos Game to Construct Affine Fractals | Constructing Non-affine and 3D Fractals using the Deterministic and Random Algorithms | Julia and Mandelbrot Sets Constructed Using the Escape-Time Algorithm and Boundary Scanning Method | Miscellaneous Design Ideas | Appendices | Bibliography | Index | Colour Figures

This book is available in the Wolfram Research bookstore.


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