Learn how to program the Hilbert curve - a 1D line which fills 2D space. I actually create first few in a sequence of curves which produces the Hilbert curve after infinitely many iterations, though all I needed was 10 to fill each pixel in the window.
Don't forget to program this yourself, as well as the many other space filling curves!
![](https://i.ytimg.com/vi/AWA5e35ueEk/maxresdefault.jpg)