Generating the Mandelbrot Set

Clear the system:

Load the color definitions:

The generating function:

Function to calculate the convergence of the generating formula (the output is negative for purely asthetic reasons):

This is a compiled version of the generating function that can be used when computational speed is an issue, at the cost of reduced flexibility:

Plot the function vs x at various y values, first for the uncompiled version. The calculation time is also shown.

The same plot, but with the compiled version. Note the speed difference.

A 3D plot over the complex plane, using the compiled version:

A view from underneath:

The "normal" contour plot view: