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Benoît Mandelbrot - The Fractal Geometry of Nature (1982)

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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...

Benoît Mandelbrot
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I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid — a term used in this work to denote all of standard geometry — Nature exhibits not simply a higher degree but an altogether different level of complexity … The existence of these patterns challenges us to study these forms that Euclid leaves aside as being "formless," to investigate the morphology of the "amorphous."

Benoît Mandelbrot
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Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

Benoît Mandelbrot
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Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.

Benoît Mandelbrot
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A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension.

Benoît Mandelbrot
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I coined fractal from the Latin adjective fractus. The corresponding Latin verb frangere means "to break:" to create irregular fragments... how appropriate for our needs!

Benoît Mandelbrot

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Worry does not empty tomorrow of its sorrow. It empties today of its strength.
Corrie ten Boom

Benoît Mandelbrot

Benoît Mandelbrot
Creative Commons

Born: November 20, 1924
Died: October 14, 2010 (aged 85)
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