Think not of what you see, but what it took to produce what you see.
BENOIT MANDELBROTBeautiful, damn hard, increasingly useful. That’s fractals.
More Benoit Mandelbrot Quotes
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Nobody will deny that there is at least some roughness everywhere
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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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If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old 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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My fate has been that what I undertook was fully understood only after the fact.
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There are very complex shapes which would be the same from close by and far away.
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Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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Order doesn’t come by itself.
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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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Bottomless wonders spring from simple rules, which are repeated without end.
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I didn’t want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure – I wanted to do something different.
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Some mathematicians didn’t even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.
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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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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
BENOIT MANDELBROT