Coding Projects

Over the years, I have developed a pair of hands-on demonstration codes for creating and understanding fractals both from using the classic Mandelbrot approach and from using a technique called the "Chaos Game".

I hope to continue to add other coding projects to this page. The my latest work can always be found on my GitHub page.

 
 
fractal.png

Mandelbrot and Julia

This code was designed to teach students about the Mandelbrot and Julia sets by teaching them about complex numbers and iterative convergent and divergent series. By the end of the notebook, a student should be able to create images that they can tweak and play with.

julia.png
 
triangle.png

The Chaos Game

It is possible to "play" a game with random numbers and create fractal images?

This notebook is designed to do just that. I designed it to walk through the production of several "regular" fractals and then dive a little deeper in what a fractal really is.

I also included the ability to create the Barnsley fern and model a leaf using fractal mathematics.

fern.png