© 2010

The Colours of Infinity

The Beauty and Power of Fractals

  • Nigel Lesmoir-Gordon
  • Beautifully and copiously illustrated, this edition also comes with an e-copy of the groundbreaking TV documentary

  • A new chapter from Benoît Mandelbrot, the mathematician and founder of fractal geometry, makes this a ‘must-read’ for anyone with an interest in fractal theory

  • Brings fractal geometry up to date by gathering the thoughts and enthusiasms of the foremost writers in the field


Table of contents

  1. Front Matter
    Pages i-x
  2. Ian Stewart
    Pages 2-23
  3. Arthur C. Clarke
    Pages 24-37
  4. Benoît Mandelbrot
    Pages 38-57
  5. Michael Barnsley, Louisa Barnsley
    Pages 58-73
  6. Gary William Flake, David M. Pennock
    Pages 88-118
  7. Benoît Mandelbrot
    Pages 120-134
  8. Nigel Lesmoir-Gordon
    Pages 136-143
  9. Arthur C. Clarke
    Pages 144-172
  10. Back Matter
    Pages 173-207

About this book


The groundbreaking documentary accompanying this book (visit is presented by Arthur C Clarke with music by David Gilmour of Pink Floyd. Introduced fifteen years ago, this brought the subject of fractals to the attention of the general public for the first time; since then it has been shown in over fifty countries around the world.

Contributors to the film are joined by other leading experts in this latest edition of ‘The Colours of Infinity’, a comprehensive survey of fractal theory and practice. Incorporating an additional chapter on the money markets by the fractal master himself, Professor Benoit Mandelbrot, the documentary has also been re-mastered providing stunning new fractal animations. A must read for anyone with an interest in the ‘beauty and power of fractals’.


Fractal Fractals Natur Self-similarity organization complexity

Editors and affiliations

  • Nigel Lesmoir-Gordon
    • 1
  1. 1.Gordon Films UKBedfordshireUnited Kingdom

About the editors

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.

Bibliographic information


From the reviews of the second edition:

“The book contains nine chapters in all, with contributions from well-known figures such as Arthur C. Clarke, Benoit Mandelbrot, Ian Stewart and Michael Barnsley. … One good feature … is that rather than simply considering fractals from a theoretical point of view, an effort has been made to discuss practical applications of this interesting area of mathematics. For those who are new to the notion of fractals, this book might be worth considering … .” (Martin Griffiths, The Mathematical Gazette, Vol. 97 (539), July, 2013)

“A more up-to-date survey of the developments in the field of fractal geometry since the documentary was released. … this book provides an attractive advert for the mathematical study of fractals. Together with the corresponding documentary, it should inspire those encountering the subject for the first time to want to explore it more.” (David A. Croydon, Mathematical Reviews, January, 2013)

“This enhanced and expanded edition of the book features chapters written both by the leading experts in the field of fractal geometry and by the contributors to the film. … The book contains dozens of breath taking photographs, and the documentary … has been digitally re-mastered to include amazing new fractal animations. Both the book and the film provide plenty of useful facts about fractals in a very inspiring, delightful and aesthetically pleasant form. Warmly recommended!” (Svitlana P. Rogovchenko, Zentralblatt MATH, Vol. 1215, 2011)