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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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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
Look
Cloud
Come
Smaller
Looks
Smooth
Made
Scale
Something
Closer
Irregularities
Like
Scales
Billows
Clouds
Fractals
Upon
Irregularity
More quotes by Benoit Mandelbrot
For most of my life, one of the persons most baffled by my own work was myself.
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
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
Benoit Mandelbrot
The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn't expect that it was possible. I just moved from step to step to step.
Benoit Mandelbrot
If you look at a shape like a straight line, what's remarkable is that if you look at a straight line from close by, from far away, it is the same it is a straight line.
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
Nobody will deny that there is at least some roughness everywhere
Benoit Mandelbrot
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
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
Engineering is too important to wait for science.
Benoit Mandelbrot
My fate has been that what I undertook was fully understood only after the fact.
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
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
I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
Benoit Mandelbrot
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.
Benoit Mandelbrot
The Mandelbrot set is the most complex mathematical object known to mankind.
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
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
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
A fractal is a way of seeing infinity.
Benoit Mandelbrot