I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
BENOIT MANDELBROTA fractal is a way of seeing infinity.
More Benoit Mandelbrot Quotes
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A formula can be very simple, and create a universe of bottomless complexity.
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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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I don’t seek power and do not run around
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A fractal is a way of seeing infinity.
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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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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.
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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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Bottomless wonders spring from simple rules, which are repeated without end.
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Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes are very, very smooth. But geometry had laid them aside because they were too complicated.
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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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Order doesn’t come by itself.
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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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Engineering is too important to wait for science.
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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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The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
BENOIT MANDELBROT