Mandelbrot set

English

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

Noun

Mandelbrot set (plural Mandelbrot sets)

1. (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

• Mandelbox
• Mandelbulb

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