Mandelbrot set
<mathematics, 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.
(1995-02-08)
Nearby terms:
Manchester encoding « Mandala « Mandelbrot, Benoit «
Mandelbrot set » mandelbug » manged » mangle
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