I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.
BENOIT MANDELBROTMy fate has been that what I undertook was fully understood only after the fact.
More Benoit Mandelbrot Quotes
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Bottomless wonders spring from simple rules, which are repeated without end.
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One couldn’t even measure roughness. So, by luck, and by reward for persistence, I did found the theory of roughness, which certainly I didn’t expect and expecting to found one would have been pure madness.
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I was in an industrial laboratory because academia found me unsuitable
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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.
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In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.
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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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My fate has been that what I undertook was fully understood only after the fact.
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I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.
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It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made which were theoretically completely artificial pictures based upon that one very simple idea. And this picture everybody views as being clouds.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.
BENOIT MANDELBROT