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There are very complex shapes which would be the same from close by and far away.

Benoit Mandelbrot

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Benoit Mandelbrot
Age: 85 †
Born: 1924
Born: November 20
Died: 2010
Died: October 14
Computer Scientist
Economist
Engineer
Mathematician
Professor
Scientist
Writer
Warszawa
Mandelbrot
B. B.‏
Benoît Mandelbrot
Benoit B. Mandelbrot
Shapes
Close
Away
Would
Complexes
Complex

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Nobody will deny that there is at least some roughness everywhere
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The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may not be true. And that idea is still unproven. It is the foundation, what started me and what everybody failed to **** prove has so far defeated the greatest efforts by experts to be proven.
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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.
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There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
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I didn't want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure - I wanted to do something different.
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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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In 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.
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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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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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Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
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My fate has been that what I undertook was fully understood only after the fact.
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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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When the weather changes and hurricanes hit, nobody believes that the laws of physics have changed. Similarly, I don't believe that when the stock market goes into terrible gyrations its rules have changed. It's the same stock market with the same mechanisms and the same people.
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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.
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Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find new ideas. That was the case long ago in the Middle Ages, in the Renaissance, in later periods, but then mathematicians had become very abstract.
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Asking the right questions is as important as answering them
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A fractal is a way of seeing infinity.
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