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World Scientific, 2019 · 268 pages · 230 color figures
ISBN 978-981-323-713-1 (hardcover)
ISBN 978-981-3237-15-5 (ebook)
An endless variety of fractal art, found by a computer that searches millions of equations for the few with real beauty
Over a hundred stunning color examples — and the software to make many more
Iterated maps, chaotic flows, iterated function systems, escape-time plots, random fractals and tessellations
The underlying mathematics explained in detail
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Elegant Fractals
Automated Generation of Computer Art
J. C. Sprott
Emeritus Professor of Physics, University of Wisconsin–Madison
Praise for Elegant Fractals
"Fractals link the fields of science, mathematics, and the arts, more than any other topic. The aim of this book is to teach, inspire, and delight researchers, hobbyists, and students about the beauty and elegance of the enormous variety of fractal patterns that can be produced by simple equations … The book is easy to read and self-contained and contains 230 high-quality color figures."
— Mathematical Reviews Clippings
About the Book
Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal.
Over a hundred examples of such images are included with a link to the software that produced them, which can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail.
Contents
1. Preliminaries
2. Search Techniques
3. Iterated Maps
4. Chaotic Flows
5. Iterated Function Systems
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6. Escape-time Plots
7. Spatiotemporal Systems
8. Random Fractals
9. Fractal Tessellations
10. Epilog
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