D. Walton

Discovered Tilings

Preview Waltonchair
Waltonchair

A substitution rule with inflation factor $\sqrt2$ and two prototiles. This makes it a candidate for being a model set with p-adic internal space. This has not been checked so far, but in principle it is possible by the methods in [LMS03] or [FS].

Preview Sqrt6-triangles
Sqrt6-triangles

A substitution rule with inflation factor $\sqrt{6}$, using three triangles as prototiles. Like the pinwheel tilings, one of the first examples showing statistical circular symmetry, but being flc w.r.t. Euclidean motions.

Infinite Rotations Finite Local Complexity Polytopal Tiles Self Similar Substitution