Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling
arXiv:2408.07707
Abstract
The Ammann A2 tiling is a simple aperiodically ordered tiling of the plane. We consider the graph derived from this tiling, by treating each corner of each tile as a vertex and each side of each tile as an edge. We present a closed-form formula for the average degree of the graph corresponding to this Ammann A2 tiling.