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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
Complexes
Complex
Shapes
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More quotes by Benoit Mandelbrot
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
Unfortunately, the world has not been designed for the convenience of mathematicians.
Benoit Mandelbrot
The techniques I developed for studying turbulence, like weather, also apply to the stock market
Benoit Mandelbrot
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
The most important thing I have done is to combine something esoteric with a practical issue that affects many people.
Benoit Mandelbrot
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.
Benoit Mandelbrot
The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.
Benoit Mandelbrot
My fate has been that what I undertook was fully understood only after the fact.
Benoit Mandelbrot
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
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
A fractal is a way of seeing infinity.
Benoit Mandelbrot
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
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
Nobody will deny that there is at least some roughness everywhere
Benoit Mandelbrot
Engineering is too important to wait for science.
Benoit Mandelbrot
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
Benoit Mandelbrot
Asking the right questions is as important as answering them
Benoit Mandelbrot
A formula can be very simple, and create a universe of bottomless complexity.
Benoit Mandelbrot
For most of my life, one of the persons most baffled by my own work was myself.
Benoit Mandelbrot
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