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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.
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Segment 85

 

Benoit Mandelbrot

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Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory, and besides were my love when I was a young man. Cauliflowers exemplify a second area of great simplicity, that of shapes which appear more or less the same as you look at them up close or from far away, as you zoom in and zoom out.
Before my work, those shapes had no use, hence no word was needed to denote them. My work created such a need and I coined "fractals."

 

Benoit Mandelbrot

 

Pat, did you notice yesterday the ACLU, and all the Christ-haters, People For the American Way, NOW, etc. were totally disregarded by the Democrats and the Republicans in both houses of Congress as they went out on the steps and called out on to God in prayer and sang "God Bless America" and said "let the ACLU be hanged"? In other words, when the nation is on its knees, the only normal and natural and spiritual thing to do is what we ought to be doing all the time — calling upon God.

 

Jerry Falwell

 

I realized that was a pretty radical thing to do, because if you're present, you're going to be different every time. You're not going to give everybody what they want, which is the cardboard character. But you will give those five people there who get it what they want, because they'll be like, "I could totally do that." Whatever crazy shit they have in their heads. Maybe they'll realize, if she's getting away with it, maybe I can totally get away with this thing that I think is better.

 

Kathleen Hanna

 

There is nothing more to this than a simple iterative formula. It is so simple that most children can program their home computers to produce the Mandelbrot set. ... Its astounding complication was completely out of proportion with what I was expecting. Here is the curious thing: the first night I saw the set, it was just wild. The second night, I became used to it. After a few nights, I became familiar with it. It was as if somehow I had seen it before. Of course I hadn't. No one had seen it. No one had described it. The fact that a certain aspect of its mathematical nature remains mysterious, despite hundreds of brilliant people working on it, is the icing on the cake to me.

 

Benoit Mandelbrot

 

I know every numbskull will babble on about "black man," "maneater," "chance," and "retrospective interpretation," in order to banish something terribly inconvenient that might sully the familiar picture of childhood innocence. Ah, these good, efficient, healthy-minded people, they always remind me of those optimistic tadpoles who bask in a puddle in the sun, in the shallowest of waters, crowding together and amiably wriggling their tails, totally unaware that the next morning the puddle will have dried up and left them stranded.

 

Carl Jung