The Fractal Geometry of Nature / Benoit B. Mandelbrot

Book Cover The Fractal Geometry of Nature
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/ Benoit B. Mandelbrot
Publisher: W. H. Freeman and Company
Availability:In Stock.
Sales Rank: 39714
ISBN-10: 0716711869
ISBN-13: 9780716711865


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.
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