# Mandelbrot set

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## Man·del·brot set

(män′dəl-brŏt′)*n.*

The set of complex numbers

*C*for which the iteration*z*_{n}_{+1}=*z*_{n}^{2}+*C*produces finite*z*for all_{n}*n*when started at*z*_{0}= 0. The boundary of the Mandelbrot set is a fractal.[After Benoit B. Mandelbrot

*(1924-2010), Polish-born American mathematician*.]American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## Mandelbrot set

(ˈmændəlˌbrɒt)*n*

(Mathematics)

*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[C20: after Benoît

*Mandelbrot*(1924–2010), French mathematician, born in Poland]Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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Noun | 1. | Mandelbrot set - 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 iterationset - (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite" |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

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Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## Mandelbrot set

*n*(Math) → Mandelbrotmenge

*f*

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

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