Socolar-Taylor Aperiodic Tile

A single tile that can fill three dimensional space but never gives a periodic tiling. For more details see:

http://blog.makezine.com/archive/2010/03/worlds_first_aperiodic_tiling_with.html

http://maxwelldemon.com/2010/04/01/socolar_taylor_aperiodic_tile/

A blender file with the python code constructing the model is here:
http://www.tilings.org.uk/monotile_2.blend