Check out the sculpture of a ball of salamanders http://theory.lcs.mit.edu/GeorgeHart/salamander.htm

and the math behind it at http://www.georgehart.com/planar/PlanarComponents.html.

Here's a printout of the shapes--you can print, cut them out, and make your own sculpture! http://theory.lcs.mit.edu/GeorgeHart/salamanders_from_paper.pdf

Here's a video (less than one minute) showing assembly of the actual sculpture http://theory.lcs.mit.edu/GeorgeHart/salamanders_short.mov