Deltoidal Trihexagonal Tiling + Stars = Crazy Delicious Originally uploaded by Ori-gomi. Tiled this out on a larger scale, thanks to some 1/64 paper folded by Mawelucky. (thanks again!) As previously stated here, this is a “deltoidal trihexagonal + quasiregular rhombic tiling”. ouch. that’s a mouthful, isn’t it? I like it because it has my favorite shape (the delta rhomboid- looks like a strange piece of pie) and one of my other favorite shapes, a 6 pointed star made up of diamonds. the reverse has another shape I like, which is a pentagon in the form factor of a regular hexagon, but with one side pulled out into a point. extending this pattern to a larger scale (and a full tiling) required a little bit of changing; I oriented all the hexagonal twists (at the center of the stars) in one direction, and made some other pleat adjustments accordingly. So there’s a good amount of rotational symmetry here around the central large hexagon twists, as well as different rotational symmetry around the smaller hexagon twists. …