Fatou sets in Julia (Fractals, Newton basins, Mandelbrot)
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Updated
Oct 18, 2025 - Julia
Julia Sets are mathematical objects relating to the field of complex dynamics. In general, Julia sets are studied in parallel to Fatou sets, as they are complementary sets defined from a complex function.
To be specific, in a metric space
To approximate images of these sets, a common approach is to iterate the function of interest over some subset of the complex plane, which often yield beautiful fractals.
Fatou sets in Julia (Fractals, Newton basins, Mandelbrot)
Multiplatform fractals explorer 🌌
Draw fractal image by python.
Fractastic is a simple and approachable fractal generator written in C.
Solving some interesting problems using Python and C++
Hardware accelerated Julia set explorer running on Ultra96
Files related to my Summer of Science Report on Nonlinear Dynamics
Alexa Schor and Theodore Kim, "A Shape Modulus for Fractal Geometry Generation". SGP 2023.
Real-time Julia Set renderer right in your browser, accelerated with WebGL
GPU accelerated rendering and generation of Fractals (Mandelbrot, Julia, Newton, Tricorn, Burning Ship) using OpenGL, WebGL and OpenCL. Interactively explore like google maps and "generate" fractals in the browser.
Julia sets images and animations
A Twitter bot that tweets random Julia sets.
Yet Another Fractal Explorer (YAFE) is an interactive application that allows you to visualise and explore 2D and 3D Fractals!
Drawing of mandelbrot by QT
Factal generator made in C
4D Julia set renderer
Web components and a web worker for painting Julia and Mandelbrot sets on a web page.
Mouse interactive Julia set rendering demo
Lyapunov Cycle Detector is a collection of algorithms destined to study the basins of attraction of rational maps (that is, the Fatou and Julia sets). In particular, the main focus of LCD is in the detection of attracting n-cycles of said rational map and in computing its basins.