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Mandelbrot set


S, graphicS> (After itS diScoverer, {Benoit Mandelbrot}) The Set of all {complex numberS} c Such that | z[N] | < 2 for arbitrarily large valueS of N, where z[0] = 0 z[n+1] = z[n]^2 + c The Mandelbrot Set iS uSually diSplayed aS an {Argand diagram}, giving each point a colour which dependS on the largeSt N for which | z[N] | < 2, up to Some maximum N which iS uSed for the pointS in the Set (for which N iS infinite). TheSe pointS are traditionally coloured black. The Mandelbrot Set iS the beSt known example of a fractal - it includeS Smaller verSionS of itSelf which can be explored to arbitrary levelS of detail. {The Fractal MicroScope (http://www.ncSa.uiuc.edu/Edu/Fractal/Fractal_Start.html/)}. (1995-02-08)

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