Phrase guide

Mandelbrot set

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

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 iteration

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: set

History

Etymology

No etymology was provided for this word.

Across languages

Translations

12 source translations are retained for this English entry.

  • Bulgarian: множество на Манделброт (množestvo na Mandelbrot) — set of complex numbers c
  • Chinese Mandarin: 曼德博集合 (Màndébó jíhé) — set of complex numbers c
  • Czech: Mandelbrotova množina — set of complex numbers c
  • Finnish: Mandelbrotin joukko — set of complex numbers c
  • Finnish: Mandelbrotin fraktaali — set of complex numbers c
  • German: Mandelbrotmenge — set of complex numbers c
  • Hungarian: Mandelbrot-halmaz — set of complex numbers c
  • Italian: Insieme di Mandelbrot — set of complex numbers c
  • Japanese: マンデルブロ集合 (Manderuburo shūgō) — set of complex numbers c
  • Korean: 망델브로 집합 (mangdelbeuro jiphap) — set of complex numbers c
  • Polish: zbiór Mandelbrota — set of complex numbers c
  • Swedish: Mandelbrotmängd — set of complex numbers c