Mandelbrot set

noun

the set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal.

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Meanings

nounMandelbrot set (plural Mandelbrot sets)

plural Mandelbrot sets

  1. mathematicsthe set of complex numbers c for which the orbit of 0 under iteration of the complex quadratic polynomial zₙ₊₁ = zₙ² + c remains bounded. The boundary of this set is a fractal.

Translations

Bulgarian множество на Манделброт
  • множество на Манделброт (množestvo na Mandelbrot)set of complex numbers c
Chinese Mandarin 曼德博集合
  • 曼德博集合 (Màndébó jíhé)set of complex numbers c
Czech Mandelbrotova množina
  • Mandelbrotova množinaset of complex numbers c
Finnish Mandelbrotin joukko, Mandelbrotin fraktaali
  • Mandelbrotin joukkoset of complex numbers c
  • Mandelbrotin fraktaaliset of complex numbers c
German Mandelbrotmenge
  • Mandelbrotmengeset of complex numbers c
Hungarian Mandelbrot-halmaz
  • Mandelbrot-halmazset of complex numbers c
Italian Insieme di Mandelbrot
  • Insieme di Mandelbrotset of complex numbers c
Japanese マンデルブロ集合
  • マンデルブロ集合 (Manderuburo shūgō)set of complex numbers c
Korean 망델브로 집합
  • 망델브로 집합 (mangdelbeuro jiphap)set of complex numbers c
Polish zbiór Mandelbrota
  • zbiór Mandelbrotaset of complex numbers c
Swedish Mandelbrotmängd
  • Mandelbrotmängdset of complex numbers c
Cite this entry
APA

Mandelbrot set. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Mandelbrot%20set

MLA

“Mandelbrot set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Mandelbrot%20set. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Mandelbrot set,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Mandelbrot%20set.

Source: Mandelbrot set on Wiktionary, CC BY-SA 4.0.