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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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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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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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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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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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A formula can be very simple, and create a universe of bottomless complexity.
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The Mandelbrot set is the most complex mathematical object known to mankind.
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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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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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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 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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A fractal is a way of seeing infinity.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
BENOIT MANDELBROT