A close cousin of the Mandelbrot set is the Julia set. Read about the Julia set and then modify 8.07_Mandelbrot.py to produce a Julia set. Fractals are a very interesting topic to study and a lot of the maths behind them is still unexplored. Besides the fact that they are beautiful to look at, they are also used in a lot of practical applications. See https://en.wikipedia.org/wiki/Fractal#Applications_in_technology.
If fractals pique your interest, you can also take a look at other variants of the Mandelbrot set such as the Magnet 1 fractal and Buddhabrot.
If you are interested in learning more about chaotic behavior, try to plot Hénon’s Function on a Tkinter canvas.
We modeled a spring pendulum and it worked in a deterministic manner. However, adding two pendulums together to form a double pendulum creates a dynamic system that is chaotic. Even though...