Mandelbrot set

English

Initial image of a Mandelbrot set zoom sequence with a continuously colored environment.

Noun

Mandelbrot set (plural Mandelbrot sets)

(mathematics) the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial z_n+1 = z_n² + c remains bounded. The boundary of this set is a fractal.

Related terms

Translations

set of complex numbers c

Chinese:
Mandarin: 曼德博集合 (Màndébó jíhé)
Czech: Mandelbrotova množina f
Finnish: Mandelbrotin joukko, Mandelbrotin fraktaali
German: Mandelbrotmenge (de) f
Hungarian: Mandelbrot-halmaz (hu)
Italian: Insieme di Mandelbrot m
Swedish: Mandelbrotmängd c

See also

Julia set

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