Benoît Mandelbrot - Geometry Quotes

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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

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

Benoît Mandelbrot

I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.

Benoît Mandelbrot

There is no single rule that governs the use of geometry. I don't think that one exists.

Benoît Mandelbrot