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Quote by Benoit Mandelbrot

“I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.”

Quote by Benoit Mandelbrot

Author

Benoit Mandelbrot

Benoit Mandelbrot, born on November 20, 1924, and died on October 14, 2010, was a renowned mathematician. He made groundbreaking contributions to fractal geometry, proposing the theory of fractals, which has been widely applied in various fields such as physics, biology, and economics. more

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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.”

Years Long Ideas Age Given Cases Middle Periods Mathematics Abstract Long Ago New Ideas Mathematician Middle Ages Given Up Renaissance

Author:Benoit Mandelbrot

“Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.”

Young Strong Happened Fashion Particular Mathematics Very Strong

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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.”

Littles Bits Possibility Little Bit Machines Contrary Perceive Helpful Mathematician

Author: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.”

Firsts May Stills Ideas Facts Effort Prove Foundation Extraordinary Being True Mathematical Experts Motivated Defeated Proven Conjecture

Author:Benoit Mandelbrot

“Many painters had a clear idea of what fractals are. Take a French classic painter named Poussin. Now, he painted beautiful landscapes, completely artificial ones, imaginary landscapes. And how did he choose them? Well, he had the balance of trees, of lawns, of houses in the distance. He had a balance of small objects, big objects, big trees in front and his balance of objects at every scale is what gives to Poussin a special feeling.”

“Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled.”

Looks Long Ideas Humanity Situation Known Strange Long Time Roots Deeper Documents Fractals

Author: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.”

Made Ideas Simple Views Clouds Artificial Astonishing Collaborators Simple Ideas

Author:Benoit Mandelbrot

“I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.”

Way Two Half Study Shapes Aspect One Way Artificial Fractals

Author:Benoit Mandelbrot

“The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.”

Strong Theory Shapes Chaos Very Strong Intersections Fractals Chaos Theory

Author:Benoit Mandelbrot

“Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.”

Past Certain Impossible Ready Theory Chaos Contact Not Ready Fractals Chaos Theory

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