The word‘fractal' was introduced by Benoit Mandelbrot in 1975.
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Even 2000 times magnification of the Mandelbrot set uncovers fine detail resembling the full set.
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Or, consider the Mandelbrot set, a mathematical function that can be
limned by a beautiful diagram drawn in the complex plane.
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In Mandelbrot's case, changing the position of a point on the plane
by a hair may completely alter its color or magnitude.
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I knew how to computer program-- I would been working in the
summers at IBM-Watson in Yorktown Heights-- and Mandelbrot and Mumford were almost collaborating;