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 MANDELBROTBottomless wonders spring from simple rules, which are repeated without end.
More Benoit Mandelbrot Quotes
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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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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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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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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 don’t seek power and do not run around
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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I was in an industrial laboratory because academia found me unsuitable
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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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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’ve been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I’m not a mathematician only. I’m a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.
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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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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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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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Asking the right questions is as important as answering them
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A fractal is a way of seeing infinity.
BENOIT MANDELBROT