Dmitry Mekhontsev
Discovered Tilings
Fractal Single-Tile Pinwheel
It is hard to find substitution tilings with dense tile orientations (like the pinwheel tiling) that uses a single prototile with fractal boundary. The fractal version of he pinwheel tiling by Frank and whittaker uses 13 different prototiles.
An extensive computer search revealed that there are only …