Experimenting with procedural geometry
Random Walk Fractal This fractal starts off very slow. It grows in a similar manner to bacteria. If you leave the screen open for several minutes, you will see its colony slowly develop over time.
Iterated Function System Experimenting with "simulated" fractals via the Iterated Function System that several sophisticated fractal visualizers are based off of. (This one is not sophisticated, but provides serviceable Serpinski-esque visualizations.)
Random Walk Fractal
Dragon Fractal (not demoed)
IFS (Serpinski):