A collection of essays by the founders and leaders of fractal geometry explores the ground-breaking world of fractals, the evolution of the science, and their diverse applications in areas that range from graphic imagery to the Internet to the stock market.

Synopsis

When Nigel Lesmoir-Gordon made the groundbreaking TV documentary, "The Colours of Infinity" about the Mandelbrot Set and fractals - the geometry of roughness, his enthusiasm brought together a dream team of contributors. Sir Arthur C. Clarke presents it. Benoit Mandelbrot, the Belgian mathematician who first coined the term "fractal" and whose equation, the Mandelbrot Set, would reveal the wonder of fractals when fed into a computer, explains how it began. Professor Michael Barnsley, the computer graphics researcher who developed fractal image compression technology, explains the applications of the breakthroughs. Professor Ian Stewart, author of "Does God Play Dice?" adds his insights into the beautifully simple equation that gives birth to fractals. Now Gordon brings Clarke, Mandelbrot, Barnsley and Stewart together again - the world's founders and leaders of fractal geometry - to describe how fractal thinking has developed - to reflect on the many theoretical, practical, commercial and artistic ways in which fractals have developed since the film was made.

They are joined by Dr Gary Flake, Chief Science Officer of Overture Inc, who expounds on the fractal nature of the Web, and Robert Prechter, who demonstrates fractal applications in the movements of the stock markets. In the back of the book is a DVD of the original documentary plus a 30-minute fractal animation to the music of Quintessence.

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