My fate has been that what I undertook was fully understood only after the fact.
BENOIT MANDELBROTEngineering is too important to wait for science.
More Benoit Mandelbrot Quotes
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There are very complex shapes which would be the same from close by and far away.
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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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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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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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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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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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Nobody will deny that there is at least some roughness everywhere
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Think not of what you see, but what it took to produce what you see.
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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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Asking the right questions is as important as answering them
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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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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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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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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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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.
BENOIT MANDELBROT