The Mandelbrot set is the most complex mathematical object known to mankind.
BENOIT MANDELBROTA formula can be very simple, and create a universe of bottomless complexity.
More Benoit Mandelbrot Quotes
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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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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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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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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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
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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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Bottomless wonders spring from simple rules, which are repeated without end.
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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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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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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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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A formula can be very simple, and create a universe of bottomless complexity.
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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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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 MANDELBROT