from The American Heritage® Dictionary of the English Language, 4th Edition
- n. 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
- n. the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zn+1 = zn2 + c remains bounded. The boundary of this set is a fractal.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- n. 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
After Benoit B. Mandelbrot (born 1924), Polish-born American mathematician.(American Heritage® Dictionary of the English Language, Fourth Edition)