Average Degree Of Graphs Derived From The Ammann A2 Aperiodic Tiling

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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Publication Details

Journal
The Fibonacci Quarterly
Published
2026-07-17
DOI
https://doi.org/10.1080/00150517.2026.2638781
Primary Topic
Quasicrystal Structures and Properties
Type
article
Field-Weighted Citation Impact
0.00

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article

Average Degree Of Graphs Derived From The Ammann A2 Aperiodic Tiling

Darren C. Ong, Xinyan Xu
The Fibonacci Quarterly
Quasicrystal Structures and Properties
article

Average Degree Of Graphs Derived From The Ammann A2 Aperiodic Tiling

Darren C. Ong, Xinyan Xu
article en

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.

The Fibonacci Quarterly
Xiamen University (CN), Xiamen University Malaysia (MY), Sunway University (MY)
National Natural Science Foundation of China
Openalex Percentile: Top 18%
Quasicrystal Structures and Properties
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