File:JSr07885.gif

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DescriptionJSr07885.gif	Русский: Анимация множества Жюлиа для квадратичного полинома fc(z)=z^2+C. Значения C для каждого кадра вычисляются по формуле: C=rcos(a)+irsin(a), где: a=(0..2Pi), r=0,7885. Таким образом, параметр С описывает круг с радиусом r=0,7885 и центром в начале координат комплексной плоскости. Смоделировано в Matlab R2011b используя алгоритм escape-time: A=10e6, max_iter=81. Цветовая схема - зеркалированный jet(40). Українська: Анімація множини Жюліа для квадратичного полінома fc(z)=z^2+C. Значення C для кожного кадру обчислюються за формулою: C=rcos(a)+irsin(a), де: a=(0..2Pi), r=0,7885. Таким чином, параметр С описує коло з радіусом r=0,7885 та центром в початку координат комплексної площини. Змодельовано в Matlab R2011b за алгоритмом escape-time: A=10e6, max_iter=81. Кольорова схема - зеркальований jet(40). English: The animation of the Julia set for the complex quadratic polinomial fc(z)=z^2+C. Values of C for each frame evaluates by equation: C=rcos(a)+irsin(a), where: a=(0..2Pi), r=0.7885. Thus, parameter С outlines circle with a radius r=0.7885 and a center at origin of the complex plane. Created in Matlab R2011b using escape-time algorithm:A=10e6, max_iter=81. Colormap - mirorred jet(40). Polski: Animacja zbioru Julii dla wielomianu kwadratowego zmiennej zespolonej $f_{c}(z)=z^{2}+C$ . Wartości $C$ dla każdej ramki są obliczane ze wzoru $C=r\cos \alpha +ir\sin \alpha$ , gdzie $\alpha =(0..2\pi )$ , $r=0,7885$ . A zatem, parametr $C$ opisuje okrąg o promieniu $r=0,7885$ i środku w początku płaszczyzny zespolonej. Stworzono w Matlabie R2011b przy użyciu algorytmu escape-time: `A=10e6`, `max_iter=81`. Mapa kolorów – odwrócony `jet(40)`. Čeština: Animace Juliovy množiny pro komplexní kvadratický polynom fc(z)=z^2+C. Deutsch: Animation der Julia-Menge des komplexen quadratischen Polynoms fc(z)=z^2+C.
Date	22 October 2015
Source	Own work
Author	Maxter315
GIF development InfoField	This animation was created with MATLAB.

European Science Photo Competition 2015

This image was uploaded as part of European Science Photo Competition 2015.

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Assessment

This file was selected as the media of the day for 22 April 2019. It was captioned as follows:

English: The animation of the Julia set for the complex quadratic polinomial fc(z)=z^2+C.

Other languages

Čeština: Animace Juliovy množiny pro komplexní kvadratický polynom fc(z)=z^2+C.

Deutsch: Animation der Julia-Menge des komplexen quadratischen Polynoms fc(z)=z^2+C.

English: The animation of the Julia set for the complex quadratic polinomial fc(z)=z^2+C.

Polski: Animacja zbioru Julii dla wielomianu kwadratowego zmiennej zespolonej

f_{c}(z)=z^{2}+C

.

Русский: Анимация множества Жюлиа для квадратичного полинома fc(z)=z^2+C.

Українська: Анімація множини Жюліа для квадратичного полінома fc(z)=z^2+C

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	17:50, 22 October 2015		500 × 400 (8.25 MB)	Maxter315	User created page with UploadWizard

File usage

The following 3 pages use this file:

Global file usage

The following other wikis use this file:

Usage on cs.wikipedia.org
- Juliova množina
Usage on el.wikipedia.org
- Σύνολο Julia
Usage on en.wikibooks.org
- Fractals/Iterations in the complex plane/Parameter plane
Usage on fr.wikipedia.org
- Fractale
- Wikipédia:Wikimag/2019/17
Usage on fr.wikiquote.org
- Beauté mathématique
Usage on he.wikipedia.org
- קבוצת ז'וליה
Usage on ro.wikipedia.org
- Simetrie (geometrie)
Usage on ru.wikipedia.org
- Множество Жюлиа
Usage on sv.wikipedia.org
Usage on tt.wikipedia.org
- Калып:Motd/2019-04
Usage on uk.wikipedia.org
- Множина Жуліа
Usage on vep.wikipedia.org
- Šablon:Motd/2019-04

File:JSr07885.gif

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