# 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*.]## 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]ThesaurusAntonymsRelated WordsSynonyms

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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" |

Translations

## Mandelbrot set

*n*(Math) → Mandelbrotmenge

*f*

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