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The Fractal Geometry of Nature by Benoît B. Mandelbrot
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The Fractal Geometry of Nature

by Benoît B. Mandelbrot

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Well, it's a classic -- and Mandelbrot's idea of "fractals" is certainly a powerful one. I just wish he had decided to work with a co-author on this one. James Gleick and Ivars Peterson do a much better job of describing the science of fractals, IMHO. Kudos to Dr. Mandelbrot for discovering this new world, though! ( )
  FlyByPC | Feb 12, 2008 |
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Canonical titleThe Fractal Geometry of Nature
Original publication date1983
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Amazon.com (ISBN 0716711869, Hardcover)

Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric figure with an infinitely large perimeter, yet with a finite area. This is an example of the kind of mathematical puzzles that this book addresses.

The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, even a layperson can pick out and appreciate Mandelbrot's point: that somewhere in mathematics, there is an explanation for nature. It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds.

(retrieved from Amazon Fri, 24 Apr 2009 07:58:08 -0400)

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