Exploring the Klein Quartic's geometry.
To run:
python kq.py
Video: https://www.youtube.com/watch?v=ADtwLnxLPTI
This image shows the 3D embedding of the Klein Quartic together with the corresponding fundamental region of the {7,3} tiling:
Make your own Klein Quartic by following these papercraft instructions.
(EDIT (Niles): Clarifications and an 8-fold coloring version are now in the papercraft
subdirectory.)