| 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
Arganddiagram, 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.
(1995-02-08)