The Mandelbrot set is the most complex mathematical object known to mankind.
BENOIT MANDELBROTThere are very complex shapes which would be the same from close by and far away.
More Benoit Mandelbrot Quotes
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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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Order doesn’t come by itself.
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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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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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I don’t seek power and do not run around
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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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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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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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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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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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A formula can be very simple, and create a universe of bottomless complexity.
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I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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
BENOIT MANDELBROT







