Written by Jonny Hyman, 2020
This code was developed for this YouTube video from Veritasium
This is not a library, but rather a collection of standalone scripts! As such, there is a bit of code duplication between scripts.
- Python 3.6 to 3.10
- pip package :
python -m pip install --upgrade pip - Numpy package :
pip install numpy - Numba package :
pip install numba
- Open "Terminal" on macOS & Linux, "Powershell" or "Command Prompt" on Windows
- Download this repository and unzip it or run
git clone https://github.com/jonnyhyman/Chaos.git - Change directory into the folder where you extracted files
cd ~/route/to/your/folder - Run the program you're interested in, like
python logistic_interactive.py - To make changes to the code, install a text editor like Visual Studio Code and then open the file you want to edit. If this is your first python project, GO FOR IT, but also it might not be the easiest to get your head wrapped around (I use a lot of nuanced python functionality).
- Google the problem you're running into
- If it seems to be a problem with this code, check if others are having the same problem in "Issues"
- Post an issue if no one else has encountered the same thing
python logistic_interactive.py
This visualization creates a cobweb plot, time series graph, and bifurcation plot for visualizing the logistic map. The font pictured is "Avenir Next" which is licensed as part of macOS. Other OSes will see their default font.
- Spacebar: play/pause
- Backspace: reset view & animation
python logistic_mandelbrot.py
Here we see the Mandelbrot set on the x-y plane, and iterations of the Mandelbrot set in the z axis. This reveals the bifurcation plot beneath the Mandelbrot set!
Final visualization is accomplished by a volume rendering of 1000x1000x1000 voxels, oversampled by 16 to reduce aliasing. At that resolution the visual does not run in realtime.
python logistic_zoom.py
- Note: The final version of the visualization used a custom version of Vispy, modified to improve the appearance of axes. I have not released this and don't plan to.