These are some explorations of what I've been calling directed tilings: where 1) tiles fill space without gap or overlap, and 2) every tile is a reflection of all its neighboring tiles across their shared edge. I'm planning to write a more thorough explanation of this idea and how it works soon. From that brief explanation, are you able to tell which of the images below are directed tilings? Can you tell what shape each tile is?
each of the above tiles are constructed from cropped images of sculptures I made.