from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun 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.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics the
setof complex numbersc for which the orbitof 0 under iterationof the complex quadratic polynomialzn+1 = zn2 + c remains bounded. The boundaryof this set is a fractal.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- noun 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 iteration
from The American Heritage® Dictionary of the English Language, 4th Edition
[After Benoit B. Mandelbrot, (1924–2010), Polish-born American mathematician.]
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