The Mandelbrot set is the modern development of a theory developed independently in 1918 by Gaston Julia and Pierre Fatou. Julia wrote an enormous book — several hundred pages long — and was very hostile to his rival Fatou. That killed the subject for 60 years because nobody had a clue how to go beyond them. My uncle didn't know either, but he said it was the most beautiful problem imaginable and that it was a shame to neglect it. He insisted that it was important to learn Julia's work and he pushed me hard to understand how equations behave when you iterate them rather than solve them. At first, I couldn't find anything to say. But later, I decided a computer could take over where Julia had stopped 60 years previously.
Benoit Mandelbrot
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"American pictures usually have no subject, only a story. A pretty woman is not a subject. Julia Roberts doing this and that is not a subject."
Jean-Luc Godard
Half of what I say is meaningless
But I say it just to reach you
Julia.John Lennon
Julia Roberts: “I got her new album – it`s amazing,” she says. “I really respect and admire her.”
Madonna Ciccone
Julia Roberts: “I got her new album – it`s amazing,” she says. “I really respect and admire her.”
Madonna
The next thing which surprised us very much, is that both for Julia sets and even more so for the Mandelbrot set, the complication was not, how to say, arbitrary, and almost everybody found the impression that these shapes were hauntingly beautiful. These shapes resulted from the most ridiculous transformation, z2+c, taken seriously, respectfully and visually. And people thought at first that they were totally wild, totally extraterrestrial, but then after a very short time, they came back and said, "You know, I think they remind me of something. I think they're natural. I think they are like perhaps nightmares or dreams, but they're natural." And this combination of being so new, because literally when we saw them nobody had seen them before, and being the next day so familiar, is still to me extraordinarily baffling.
Benoit Mandelbrot
Mandelbrot, Benoit
Mandelson, Peter
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