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.
BENOIT MANDELBROTOrder doesn’t come by itself.
More Benoit Mandelbrot Quotes
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A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
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Bottomless wonders spring from simple rules, which are repeated without end.
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Round about the accredited and orderly facts of every science there ever floats a sort of dustcloud of exceptional observations, of occurrences minute and irregular and seldom met with, which it always proves more easy to ignore than to attend to.
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The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
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If you look at a shape like a straight line, what’s remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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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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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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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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My fate has been that what I undertook was fully understood only after the fact.
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Engineering is too important to wait for science.
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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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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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There is a saying that every nice piece of work needs the right person in the right place at the right time.
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The Mandelbrot set is the most complex mathematical object known to mankind.
BENOIT MANDELBROT