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arXiv · 2408.07707

Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling

Xinyan Xu·Darren C. Ong
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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.

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Xinyan Xu, Darren C. Ong. 2025-09-23. Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling. https://arxiv.org/abs/2408.07707

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