/FractalExploration

Repository dedicated to exploring fractals and chaos

Primary LanguagePythonMIT LicenseMIT

FractalExploration

First, we'll start by creating bifurcation plots of a few diagrams and mess around with the efficiency of using array calculuations and using numpy.

Julia Set Animation Julia Set MandelBrot Set

Then we'll recreate the SuPeR Fractal from Professor Ramsey's paper as well as the Logistic Fractal

SuPeR Fractal

SuPeR Fractal

Logistic Fractal

Logistic Fractal

From here we'll experiment with different characteristics of the fractals, creating different images. These variations can be found in the Fractals folder.

3D Fractal

Here is an animation of the Lyapunov Logistic Fractal in 3D. The code and more images can be found in the Markus-Lyapunov Fractal folder. 3D Fractal