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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
Made
Scale
Something
Closer
Irregularities
Like
Scales
Billows
Clouds
Fractals
Upon
Irregularity
Look
Cloud
Come
Smaller
Looks
Smooth
More quotes by Benoit Mandelbrot
Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
Benoit Mandelbrot
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.
Benoit Mandelbrot
Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.
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
I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
Benoit Mandelbrot
Asking the right questions is as important as answering them
Benoit Mandelbrot
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
Benoit Mandelbrot
Nobody will deny that there is at least some roughness everywhere
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
A formula can be very simple, and create a universe of bottomless complexity.
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
The techniques I developed for studying turbulence, like weather, also apply to the stock market
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
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
Unfortunately, the world has not been designed for the convenience of mathematicians.
Benoit Mandelbrot
An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
Benoit Mandelbrot
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.
Benoit Mandelbrot
My fate has been that what I undertook was fully understood only after the fact.
Benoit Mandelbrot
The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
Benoit Mandelbrot
A fractal is a way of seeing infinity.
Benoit Mandelbrot
