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- W4308015226 abstract "We present a multi-edge-length aperiodic tiling which exhibits 6--fold rotational symmetry. The edge lengths of the tiling are proportional to 1:$tau$, where $tau$ is the golden mean $frac{1+sqrt{5}}{2}$. We show how the tiling can be generated using simple substitution rules for its three constituent tiles, which we then use to demonstrate the bipartite nature of the tiling vertices. As such, we show that there is a relatively large sublattice imbalance of $1/[2tau^2]$. Similarly, we define allowed vertex configurations before analysing the tiling structure in 4-dimensional hyperspace." @default.
- W4308015226 created "2022-11-07" @default.
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- W4308015226 date "2022-10-31" @default.
- W4308015226 modified "2023-09-29" @default.
- W4308015226 title "A three tile 6-fold golden-mean tiling" @default.
- W4308015226 doi "https://doi.org/10.48550/arxiv.2211.00127" @default.
- W4308015226 hasPublicationYear "2022" @default.
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