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Mandelbrot set
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World English Dictionary
Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source
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Mandelbrot set
is always a great word to know.
So is lollapalooza. Does it mean:
| an extraordinary or unusual thing, person, or event; an exceptional example or instance. |
| an arrangement of five objects, as trees, in a square or rectangle, one at each corner and one in the middle. |
American Heritage
Science Dictionary
Mandelbrot set  (män'dəl-brŏt') Pronunciation Key
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.
Cite This Source
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
Cite This Source
FOLDOC
Computing Dictionary
Mandelbrot set definition
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 (http://ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html/).
(1995-02-08)
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