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math.CO2024
Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling
Xinyan Xu, Darren C. Ong
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 eac…
math.DS2024
Fractals corresponding to the metallic means sequences
Y. S. J. Liang, Darren C. Ong
In this work, we introduce a class of fractal subsets of corresponding to the aperiodically ordered metallic means sequences. We find simple formulas for the fractal dimens…