Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid.
BENOIT MANDELBROTA formula can be very simple, and create a universe of bottomless complexity.
More Benoit Mandelbrot Quotes
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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.
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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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Round about the accredited and orderly facts of every science there ever floats a sort of dustcloud of exceptional observations, of occurrences minute and irregular and seldom met with, which it always proves more easy to ignore than to attend to.
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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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I had very, very little training in taking an exam to determine a scientist’s life in France.
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I was in an industrial laboratory because academia found me unsuitable
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I don’t seek power and do not run around
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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.
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Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
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The Mandelbrot set is the most complex mathematical object known to mankind.
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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.
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Engineering is too important to wait for science.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.
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There are very complex shapes which would be the same from close by and far away.
BENOIT MANDELBROT