A geometry able to include mountains and clouds now exists. I put it together in 1975, but of course it incorporates numerous pieces that have been around for a very long time. Like everything in science, this new geometry has very, very deep and long roots. Benoît B. Mandelbrot Introduction This enhanced and expanded edition of THE COLOURS OF INFINITY features an additional chapter on the money markets by the fractal master himself, Professor Benoît Mandelbrot. The DVD of the film associated with this book has been re-mastered especially for this edition with exquisite new fractal animations, which will take your breath away! Driven by the curious enthusiasm that engulfs many fractalistas, in 1994, Nigel Lesmoir-Gordon overcame enormous obstacles to raise the finance for, then shoot and edit the groundbreaking TV documentary from which this book takes its name. The film has been transmitted on TV channels in over fifty countries around the world. This book is not just a celebration of the discovery of the Mandelbrot set, it also brings fractal geometry up to date with a gathering of the thoughts and enthusiasms of the foremost writers and researchers in the field. As Ian Stewart makes clear in the opening chapter, there were antecedents for fractal geometry before 1975 when Mandelbrot gave the subject its name and began to develop the underlying theory.
Зміст
The Nature of Fractal Geometry.- Exploring the Fractal Universe.- A Geometry Able to Include Mountains and Clouds.- Fractal Transformations.- Fractal Limits: The Mandelbrot Set and the self-similar tilings of M. C. Escher.- Self-organization, Self-regulation, and Self-similarity on the Fractal Web.- Fractal Financial Fluctuations.- Filming The Colours of Infinity.- The Colours of Infinity-The Film Script.
Про автора
Nigel Lesmoir-Gordon: Producer and Director of the original documentary, he has been an independent film and documentary maker since the 1960s. He is the co-author of Introducing Fractals with Will Rood and Ralph Edney and is currently investigating the educational applications of fractal geometry.
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