Fractale Mandelbrot
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High resolution deep zoom this took 4 weeks to calculate the logz plane or side scrolling plane and about 1 hour to assemble the video.
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Fractale mandelbrot. Die mandelbrot menge benannt nach benoit mandelbrot ist die menge der komplexen zahlen fuer welche die durch die iteration definierte folge beschraenkt ist. Mandelbrotpy langage. Web mandelbrot click any point to zoom in click near sides to zoom out. Definir correctement ce quest une fractale nest pas simple et certaines definitions trouvees dans divers articles sont inexactes.
Mandelbrot 20 november 1924 14 october 2010 was a polish born french and american mathematician and polymath with broad interests in the practical sciences especially regarding what he labeled as the art of roughness of physical phenomena and the uncontrolled element in life. Mathieu description. Cet ensemble est une fractale qui est definie par les points c du plan complexe pour lesquels la suite definie de la facon suivante. Calcule et affiche la fractale de mandelbrot en noir et blanc import pygame constantes maxiteration 50 nombre diterations maximales avant de considerer que la suite converge xmin xmax ymin ymax 2 05 125 125 bornes du.
En mathematiques lensemble de mandelbrot est une fractale definie comme lensemble des points c du plan complexe pour lesquels la suite de nombres complexes definie par recurrence par. Bilder davon koennen erzeugt werden indem ein. Python 36 pygame 19 auteur. He referred to himself as a fractalist and is recognized for his contribution to the field of.
Mandelbrot lui meme a varie dans ses propos. Geometrisch als teil der gaussschen zahlenebene interpretiert ist die mandelbrotmenge ein fraktal das im allgemeinen sprachgebrauch oft apfelmaennchen genannt wird. Lensemble de mandelbrot a ete decouvert par gaston julia et pierre fatou 1 avant la premiere guerre mondialesa definition et son nom actuel sont dus a adrien douady en. Est bornee.
The mandelbrot set can also be defined as the connectedness locus of a family of polynomials. Z 0 0 et z n1 z n 2 c. The mandelbrot set is a compact set since it is closed and contained in the closed disk of radius 2 around the originmore specifically a point belongs to the mandelbrot set if and only if for all in other words if the absolute value of ever becomes larger than 2.
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