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.
BENOIT MANDELBROTAn extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
More Benoit Mandelbrot Quotes
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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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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.
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The Mandelbrot set is the most complex mathematical object known to mankind.
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The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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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.
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A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
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Engineering is too important to wait for science.
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Order doesn’t come by itself.
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I was in an industrial laboratory because academia found me unsuitable
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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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Beautiful, damn hard, increasingly useful. That’s fractals.
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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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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 is a saying that every nice piece of work needs the right person in the right place at the right time.
BENOIT MANDELBROT