For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
BENOIT MANDELBROTThe rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
More Benoit Mandelbrot Quotes
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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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Now 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.
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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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Engineering is too important to wait for science.
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Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.
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I don’t seek power and do not run around
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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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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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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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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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I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.
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My fate has been that what I undertook was fully understood only after the fact.
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A fractal is a way of seeing infinity.
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I had very, very little training in taking an exam to determine a scientist’s life in France.
BENOIT MANDELBROT