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Mandelbrot set

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English thumb|Mandelbrot set sequence thumb|Initial image of a Mandelbrot set zoom sequence with a continuously colored environment. Noun en mathematics 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. Related terms en Mandelbox en Mandelbulb Translations set of complex numbers c Bulgarian: bg множество на Манделброт n Chinese: Mandarin: cmn 曼德博集合 Màndébó jíhé Czech: cs Mandelbrotova množina f Finnish: fi Mandelbrotin joukko, fi Mandelbrotin fraktaali German: de Mandelbrotmenge f Hungarian: hu Mandelbrot-halmaz Italian: it Insieme di Mandelbrot m Japanese: ja マンデルブロ集合 Manderuburo shūgō Korean: ko 망델브로 집합 Polish: pl zbiór Mandelbrota m Swedish: sv Mandelbrotmängd c See also en Julia set en eponyms en Fractals