Source : WordNet®

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

Source : Free On-Line Dictionary of Computing

Mandelbrot set
     
         (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_Home.html/)}.
     
        (1995-02-08)