Unfortunately, the world has not been designed for the convenience of mathematicians.
BENOIT MANDELBROTWhy 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.
More Benoit Mandelbrot Quotes
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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.
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Order doesn’t come by itself.
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When people ask me what’s my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.
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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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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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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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One couldn’t even measure roughness. So, by luck, and by reward for persistence, I did found the theory of roughness, which certainly I didn’t expect and expecting to found one would have been pure madness.
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The Mandelbrot set is the most complex mathematical object known to mankind.
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Think not of what you see, but what it took to produce what you see.
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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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My life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.
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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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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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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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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.
BENOIT MANDELBROT