Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled.
BENOIT MANDELBROTA cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
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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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 you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
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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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If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).
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The Mandelbrot set is the most complex mathematical object known to mankind.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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A formula can be very simple, and create a universe of bottomless complexity.
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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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Order doesn’t come by itself.
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Bottomless wonders spring from simple rules, which are repeated without end.
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I was in an industrial laboratory because academia found me unsuitable
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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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.
BENOIT MANDELBROT








