Substitution tilings with statistical circular symmetry

Two new series of substitution tilings are introduced in which the tiles appear in infinitely many orientations. It is shown that several properties of the well-known pinwheel tiling do also hold for these new examples, and, in fact, for all primitive substitution tilings showing tiles in infinitely many orientations. Dedicated to my teacher Ludwig Danzer on the occasion of his 80th birthday

• Type: Journal
• Year: 2008
• Where: EJC
• Authors: Dirk Frettlöh
• Keywords: EJC 2007, EJC 2008, Information Technology, Primitive Substitution Tilings, Substitution Tilings, Well-known Pinwheel