The Mandelbrot set is encredibly easy to define but harder to calculate. We will do so and if we choose our colors right the set could look like the image below.
This is an image that shows the whole Mandelbrot set; the intersting things will happen ones we zoom into the set.
This is an image at (-0.14 + 0.85i), with the right edge at -0.13. The depth is set to 128 and the size is 1920x1080.