There are very complex shapes which would be the same from close by and far away.
BENOIT MANDELBROTNow 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.
More Benoit Mandelbrot Quotes
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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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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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Think not of what you see, but what it took to produce what you see.
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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 rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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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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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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Bottomless wonders spring from simple rules, which are repeated without end.
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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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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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Nobody will deny that there is at least some roughness everywhere
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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.
BENOIT MANDELBROT -
I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.
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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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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.
BENOIT MANDELBROT