For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
BENOIT MANDELBROTA formula can be very simple, and create a universe of bottomless complexity.
More Benoit Mandelbrot Quotes
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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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My fate has been that what I undertook was fully understood only after the fact.
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Engineering is too important to wait for science.
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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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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 was in an industrial laboratory because academia found me unsuitable
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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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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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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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A formula can be very simple, and create a universe of bottomless complexity.
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Bottomless wonders spring from simple rules, which are repeated without end.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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When people ask me what’s my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.
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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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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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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.
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Think not of what you see, but what it took to produce what you see.
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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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The Mandelbrot set is the most complex mathematical object known to mankind.
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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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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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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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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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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The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
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There are very complex shapes which would be the same from close by and far away.
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