The Mandelbrot Fractal Set

This is one of the most well-known fractal sets. It is defined by the following recursion:

An example of the Mandelbrot Fractal Set is shown below:

To generate this Mandelbrot Set in Stata you use the in-built matrix language Mata with the following commands:

Copy the above commands into a Stata do-file to run.

Please Note: This took about 15 minutes to render on my computer. If you have an older or less powerful computer this can take up to 3 hours to render.

Stata has a wide range of graphs that are very customisable. To learn more about Stata graphs and how to use them check out the book A Visual Guide to Stata Graphics available at our bookstore.