If you are looking for a visualization challenge, try visualizing Hopf Fibrations.
Niles Johnson was able to do it using the free mathematics software Sage including the Tachyon ray tracer.
Visualization - Lecture - web site
Enjoy.
8 Likes
Wow that looks amazing 
Very nice, and you could try non-flat circles too
Kind of on-track, but probably needs to layer a bunch of frames, sample webm