10 Year Compilation of Advanced Research
Edited By
C.A. Pickover, IBM T.J. Watson Research Center, Yorktown Heights, New York, NY, USA;
Description
These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most
serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides
visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers
on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical,
and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature
created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art.
Chaos and Fractals is
divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex
Maps; Iterated Function Systems; and Computer Art.
Additionally, information on the latest practical applications of fractals and on
the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly
finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six
sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced
with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.
