Cs, 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)
