The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
BENOIT MANDELBROTIn 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.
More Benoit Mandelbrot Quotes
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Asking the right questions is as important as answering them
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Order doesn’t come by itself.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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The Mandelbrot set is the most complex mathematical object known to mankind.
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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 don’t seek power and do not run around
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Bottomless wonders spring from simple rules, which are repeated without end.
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There is a saying that every nice piece of work needs the right person in the right place at the right time.
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Some mathematicians didn’t even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.
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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 rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
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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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I was in an industrial laboratory because academia found me unsuitable
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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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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 MANDELBROT