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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.

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
Used
Straight
Self
Piece
Whole
Property
Line
Pieces
Lines
Small
Similarity
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More quotes by Benoit Mandelbrot

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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.
Benoit Mandelbrot
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My fate has been that what I undertook was fully understood only after the fact.
Benoit Mandelbrot
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I spent my time very nicely in many ways, but not fully satisfactory. Then I became Professor in France, but realized that I was not - for the job that I should spend my life in.
Benoit Mandelbrot
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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
Benoit Mandelbrot
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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.
Benoit Mandelbrot
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
Benoit Mandelbrot
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A fractal is a way of seeing infinity.
Benoit Mandelbrot
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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.
Benoit Mandelbrot
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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.
Benoit Mandelbrot
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Asking the right questions is as important as answering them
Benoit Mandelbrot
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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
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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.
Benoit Mandelbrot
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
Benoit Mandelbrot
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The Mandelbrot set is the most complex mathematical object known to mankind.
Benoit Mandelbrot
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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.
Benoit Mandelbrot
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There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable
Benoit Mandelbrot
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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.
Benoit Mandelbrot
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A formula can be very simple, and create a universe of bottomless complexity.
Benoit Mandelbrot
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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.
Benoit Mandelbrot
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For most of my life, one of the persons most baffled by my own work was myself.
Benoit Mandelbrot