File:JSr07885.gif
Summary
| Description |
Русский: Анимация множества Жюлиа для квадратичного полинома fc(z)=z^2+C. Значения C для каждого кадра вычисляются по формуле: C=r*cos(a)+i*r*sin(a), где: a=(0..2*Pi), 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=r*cos(a)+i*r*sin(a), де: a=(0..2*Pi), 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=r*cos(a)+i*r*sin(a), where: a=(0..2*Pi), 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 . Wartości dla każdej ramki są obliczane ze wzoru , gdzie , . A zatem, parametr opisuje okrąg o promieniu 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).Deutsch: Animation der Julia-Menge des komplexen quadratischen Polynoms fc(z)=z^2+C. |
| Date | |
| Source | Own work |
| Author | Maxter315 |
| GIF development |
 |
This image was uploaded as part of European Science Photo Competition 2015. |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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
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. Русский: Анимация множества Жюлиа для квадратичного полинома fc(z)=z^2+C. Українська: Анімація множини Жюліа для квадратичного полінома fc(z)=z^2+C
|
Category:Media of the day#{{{year}}}-{{{month}}}-{{{day}}}
Category:Non-photographic media from European Science Photo Competition 2015 Category:Animations of Julia sets Category:Quadratic Julia sets Category:Uploaded via Campaign:espc-ua Category:Best images from European Science Photo Competition 2015 in Ukraine Category:Animated GIF files Category:Animated GIF files between 50 MP and 100 MP
Category:Animated GIF files
Category:Animated GIF files between 50 MP and 100 MP
Category:Animations of Julia sets
Category:Best images from European Science Photo Competition 2015 in Ukraine
Category:CC-BY-SA-4.0
Category:Images from European Science Photo Competition 2015 in Ukraine
Category:Media of the day
Category:Non-photographic media from European Science Photo Competition 2015
Category:PNG created with MATLAB
Category:Quadratic Julia sets
Category:Self-published work
Category:Uploaded via Campaign:espc-ua