Sphinx aperiodic tile

This is an 'aperiodic' tile, which recursively tiles the plane.. Four copies of this tile can be assembled to create a bigger-sized sphinx shape, and four of THOSE can produce an even bigger shape, etc. :)

This is an example of a SINGLE tile shape being able to achieve aperiodicity. This enneagon is another such shape: https://www.shapeways.com/model/677471/enneagon-an-aperiodic-tile.html

See http://en.wikipedia.org/wiki/Sphinx_tiling for more info..