you can find the fractal generator live at http://julia-live.s3-website-us-east-1.amazonaws.com/
This experimental application, which attempt to automatically generate Julia fractals which are entertaining and amazing to view. The application exploits the relationship between the Mandelbrot set and the Julia set as well as heuristic in order to generate interesting images, and animate them.
The application is written in typescript using React and Redux. It is based on the redux typescript mui template. It runs entirely in the browser and doesn't have any server resource.
The fractal generation is implemented using WebGL and fragment shaders. The fractal images have by their nature a lot of details, and so to prevent aliasing, the pixel sharder regenerate images which have double resolution of the viewport. Therefore this application require a recent device to run properly.
The application animate multiple type of fractals. Each animation is obtained interpolating the c values for the Julia set. The set of c values are pre-computed, and a long path is created. At run time, a section of the path is selected, and some of the points perturbated such that the animation will vary a bit each time.
This is the implementation of the Julia fractal. the path which is identified in the Mandelbrout set is the folloiwing :
When you click on the Mandelbrot image, used for navigation during the animation, you can actually see the Julia Map. This is an interactive map which display, for each point in the complex plane the corresponding Julia Fractal. This map clearly shows the location of the fractal which are 'interesting' to view, which are typically the one at the border of the Mandelbrot set.
The application also supports the Phoenix fractal for which the path generated is the following :
As for the julia fractals, you can see Phoenix Map fractals and interactively explore the fractals which can be generated.
The application supports the Newton Fractals for the equation z^3-1. The map for this fractal is the following :
And you can interactively navigate the map using Newton Map where for each point on the complex plane youu can see the fractal generated.