Substitution tilings with statistical circular symmetry
Abstract
Description
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 substitution tilings showing tiles in infinitely many orientations.
15 pages, 5 figures
15 pages, 5 figures