There are very complex shapes which would be the same from close by and far away.
BENOIT MANDELBROTEngineering is too important to wait for science.
More Benoit Mandelbrot Quotes
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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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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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If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.
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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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I didn’t feel comfortable at first with pure mathematics, or as a professor of pure mathematics. I wanted to do a little bit of everything and explore the world.
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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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If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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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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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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I had very, very little training in taking an exam to determine a scientist’s life in France.
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I don’t seek power and do not run around
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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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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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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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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.
BENOIT MANDELBROT