Let this thread be the refrigerator door to which we post stuff that's far from The Best New Thing, but we're kinda proud of anyway.
Subdivisible Fractal Hexagonal Tiling (http://vthek.tumblr.com/post/125539791944/subdivisible-fractal-hexagonal-tiling-each-tile)
(https://33.media.tumblr.com/4079e111f5451c3d7d098114b809a1f9/tumblr_nsa2a59CUD1uxw370o1_540.gif)
(https://40.media.tumblr.com/c679cb460d566459361c44156746867b/tumblr_nsa2a59CUD1uxw370o2_r1_540.png)
Each tile can be divided into three smaller tiles which are the same shape but rotated 30 degrees. Somewhere around my bedroom I have a sketch of this on graph paper.