The Fractal Geometry of Nature

Benoit B. Mandelbrot

Times Books




480 Pages



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Clouds are not spheres, mountains are not cones, and lightening does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.

Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.


Praise for The Fractal Geometry of Nature

"[A] spectacular book loaded with beautiful illustrations from many fields of knowledge and graced by fascinating details about the lives of those who contributed to the subject . . . This book is a 'must' for all who delight in surveying the frontiers of knowledge."—John Archibald Wheeler, American Journal of Physics

"Heartening and illuminating application of advanced mathematics to the beautiful, irregular enigmas of the world."—Marc LeBrun, Co-Evolution Quarterly

"A rarity: a picture book of sophisticated contemporary research ideas in mathematics. Here, it concerns recursively defined curves and shapes, whose dimensionality is not a whole number. Amazingly, Mandelbrot shows their relevance to practically every branch of science."—Douglas Hofstadter, author of Godel, Escher, Bach

"Written with daring originality . . . I like people who write for glory and not just for money."—I. J. Good, Journal of the American Statistical Association

Reviews from Goodreads



  • Benoit B. Mandelbrot

  • Benoit Mandelbrot is the Abraham Robinson Professor of Mathematical Sciences at Yale University and IBM Fellow Emeritus at the IBM T.J. Watson Research Center.