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Mandelbrot set

(maths) a set of points in the complex plane that is self-replicating according to some predetermined rule such that the boundary of the set has fractal dimensions, used in the study of fractal geometry and in producing patterns in computer graphics
Word Origin
C20: after Benoît Mandelbrot (1924–2010), French mathematician, born in Poland
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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mandelbrot set in Science
Mandelbrot set
The set of complex numbers C for which the iteration zn+1 = zn2 + C produces finite zn for all n when started at z0 = 0. The boundary of the Mandelbrot set is a fractal.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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mandelbrot set in Technology
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 (
The Free On-line Dictionary of Computing, © Denis Howe 2010
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