Probably my favorite are the Myriahedral projections[1], basically the Dymaxion map, but with ridiculous number of faces. In his paper he also unfolds a fractal[2].

[1]: http://www.win.tue.nl/~vanwijk/myriahedral/

[2]: http://www.win.tue.nl/~vanwijk/myriahedral/CAJ103.pdf