Christoph Bandt
Discovered Tilings
Fractal Kite and Dart
A fractalized version of the Penrose Kite and Dart tilings. Unlike Kite and Dart, this version is a selfsimilar substitution.
Self Similar Substitution
Fractal Penrose Dragon
A selfsimilar version of a substitution with Penrose rhombs, but without reflections. These tilings are mld to the Penrose Rhomb tilings, even though they lack their mirror symmetry.
Self Similar Substitution
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 …