Mandelbrot set

British  

/ ˈmændəlˌbrɒt /

noun

1. 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

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Mandelbrot set Scientific  

/ män′dəl-brŏt′ /

1. The set of complex numbers C for which the iteration z _{n +1} = z _n ² + C produces finite z _n for all n when started at z ₀ = 0. The boundary of the Mandelbrot set is a fractal.

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Etymology

Origin of Mandelbrot set

C20: after Benoît Mandelbrot (1924–2010), French mathematician, born in Poland

Example Sentences

See Examples For:

Mandelbrot set

The Mandelbrot set is usually generated by computer and shows fascinating details on enlargement, including self-replication of the set.

From Textbooks ● Mar. 30, 2016

Figure 34.21 This image is related to the Mandelbrot set, a complex mathematical form that is chaotic.

From Textbooks ● Aug. 12, 2015

The Mandelbrot set, one of the most famous fractals, is closely related to Julia sets of degree two polynomials: imagine the polynomial z2+c, where c can be any complex number.

From Scientific American ● Sep. 26, 2012

I could fake math knowledge for little news stories about the Mandelbrot set or Fermat’s last theorem but a major article would be too hard!

From Scientific American ● Aug. 24, 2012

Personally I enjoy the beauty of a Mandelbrot set, and the Fibonacci series - and I am neither mathematician nor artist, but a botanist & computer scientist.

From BBC ● Mar. 5, 2010