Bottomless wonders spring from simple rules, which are repeated without end.
BENOIT MANDELBROTBoth 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.
More Benoit Mandelbrot Quotes
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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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Some mathematicians didn’t even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.
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I was in an industrial laboratory because academia found me unsuitable
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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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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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I don’t seek power and do not run around
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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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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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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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A formula can be very simple, and create a universe of bottomless complexity.
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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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My fate has been that what I undertook was fully understood only after the fact.
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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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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.
BENOIT MANDELBROT