A fractal is a way of seeing infinity.
BENOIT MANDELBROTI 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.
More Benoit Mandelbrot Quotes
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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.
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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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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.
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I didn’t want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure – I wanted to do something different.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.
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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 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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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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My fate has been that what I undertook was fully understood only after the fact.
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For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
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A formula can be very simple, and create a universe of bottomless complexity.
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There is a saying that every nice piece of work needs the right person in the right place at the right time.
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The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
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There are very complex shapes which would be the same from close by and far away.
BENOIT MANDELBROT