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.
BENOIT MANDELBROTI went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
More Benoit Mandelbrot Quotes
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Engineering is too important to wait for science.
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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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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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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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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A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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I don’t seek power and do not run around
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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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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.
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I was in an industrial laboratory because academia found me unsuitable
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Nobody will deny that there is at least some roughness everywhere
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My fate has been that what I undertook was fully understood only after the fact.
BENOIT MANDELBROT