The Mandelbrot set is the most complex mathematical object known to mankind.
BENOIT MANDELBROTUnfortunately, the world has not been designed for the convenience of mathematicians.
More Benoit Mandelbrot Quotes
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If you look at a shape like a straight line, what’s remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.
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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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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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Engineering is too important to wait for science.
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It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made which were theoretically completely artificial pictures based upon that one very simple idea. And this picture everybody views as being clouds.
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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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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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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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Nobody will deny that there is at least some roughness everywhere
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Beautiful, damn hard, increasingly useful. That’s fractals.
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The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.
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I don’t seek power and do not run around
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In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.
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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.
BENOIT MANDELBROT







