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2 definitions found
for Mandelbrot set
From WordNet (r) 3.0 (2006) :
n 1: 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
From The Free On-line Dictionary of Computing (18 March 2015) :
(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
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
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