If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
BENOIT MANDELBROTBeing a language, mathematics may be used not only to inform but also, among other things, to seduce.
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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Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid.
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Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
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Nobody will deny that there is at least some roughness everywhere
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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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For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
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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 was in an industrial laboratory because academia found me unsuitable
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The most complex object in mathematics, the Mandelbrot Set … is so complex as to be uncontrollable by mankind and describable as ‘chaos’.
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Bottomless wonders spring from simple rules, which are repeated without end.
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I don’t seek power and do not run around
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Beautiful, damn hard, increasingly useful. That’s fractals.
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I didn’t feel comfortable at first with pure mathematics, or as a professor of pure mathematics. I wanted to do a little bit of everything and explore the world.
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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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The Mandelbrot set is the most complex mathematical object known to mankind.
BENOIT MANDELBROT