< mathematics , graphics > (After its discoverer, Benoit Mandelbrot ) The set of all complex numbers c such that
| z[N] | 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] | 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 .
(1995-02-08)