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.
BENOIT MANDELBROTMy fate has been that what I undertook was fully understood only after the fact.
More Benoit Mandelbrot Quotes
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The Mandelbrot set is the most complex mathematical object known to mankind.
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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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A fractal is a way of seeing infinity.
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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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I had very, very little training in taking an exam to determine a scientist’s life in France.
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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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In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.
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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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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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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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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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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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I was in an industrial laboratory because academia found me unsuitable
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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.
BENOIT MANDELBROT