Malke Rosenfeld has been playing around with cat tilings, and that got me playing around with this. It's a square base tile, with side to side rotations, but also a side to self to make it more ambiguous and playful.
See more of the story and a couple other tilings from this sketch at http://mathhombre.tumblr.com/post/134230988759/cat-tiling
More GGB at bit.ly/mh-ggb