A fractal is a way of seeing infinity.
BENOIT MANDELBROTOne 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.
More Benoit Mandelbrot Quotes
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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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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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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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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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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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My life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.
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Bottomless wonders spring from simple rules, which are repeated without end.
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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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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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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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I spent my time very nicely in many ways, but not fully satisfactory. Then I became Professor in France, but realized that I was not – for the job that I should spend my life in.
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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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There are very complex shapes which would be the same from close by and far away.
BENOIT MANDELBROT






