I don’t seek power and do not run around
BENOIT MANDELBROTThe 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.
More Benoit Mandelbrot Quotes
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The most complex object in mathematics, the Mandelbrot Set … is so complex as to be uncontrollable by mankind and describable as ‘chaos’.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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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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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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Order doesn’t come by itself.
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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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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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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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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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A fractal is a way of seeing infinity.
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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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A 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.
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There are very complex shapes which would be the same from close by and far away.
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Asking the right questions is as important as answering them
BENOIT MANDELBROT