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.
BENOIT MANDELBROTI had very, very little training in taking an exam to determine a scientist’s life in France.
More Benoit Mandelbrot Quotes
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A formula can be very simple, and create a universe of bottomless complexity.
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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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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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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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A fractal is a way of seeing infinity.
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Think not of what you see, but what it took to produce what you see.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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 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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There are very complex shapes which would be the same from close by and far away.
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Bottomless wonders spring from simple rules, which are repeated without end.
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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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The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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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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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.
BENOIT MANDELBROT