[1] : WordNet (r) 2.0

mandelbrot set
     n : a set of complex numbers that has a highly convoluted
         fractal boundary when plotted; the set of all points in
         the complex plane that are bounded under a certain
         mathematical iteration

[2] : The Free On-line Dictionary of Computing (27 SEP 03)

mandelbrot set
     
         after its discoverer, benoit
        mandelbrot the set of all complex numbers c such that
     
        	| zn | < 2
     
        for arbitrarily large values of n, where
     
        	z0 = 0
        	zn+1 = zn^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 | zn | < 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_home.html/.
     
        1995-02-08
     
     
see also:
benoit mandelbrot complex numbers argand diagram fractal lt;the fractal microscopegt; 

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