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 MANDELBROTRound 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.
More Benoit Mandelbrot Quotes
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The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
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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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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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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled.
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Although computer memory is no longer expensive, there’s always a finite size buffer somewhere. When a big piece of news arrives, everybody sends a message to everybody else, and the buffer fills
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I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.
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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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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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I had very, very little training in taking an exam to determine a scientist’s life in France.
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A fractal is a way of seeing infinity.
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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.
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Think not of what you see, but what it took to produce what you see.
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A formula can be very simple, and create a universe of bottomless complexity.
BENOIT MANDELBROT