FASS-Curve of the Pentagon Substitution Tiling

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Info

The FASS-curve of the pentagon bases on an aperiodic substitution tiling with four substitution rules and appropriate decorations. The substitution tiling was derived from the Robinson Triangle Tiling. Its inflation factor is the golden mean $\frac{\sqrt{5}}{2} + \frac{1}{2} = 1.618033988\ldots$.

Substitution Rule

Rule FASS-Curve of the Pentagon Substitution Tiling

Patch

Patch FASS-Curve of the Pentagon Substitution Tiling download vectorformat FASS-Curve of the Pentagon Substitution Tiling

References

[pau2021]
Pautze, S
Space-Filling, Self-Similar Curves of Regular Pentagons, Heptagons and Other n-Gons
Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture 2021, 38, 157-164, bridges2021-157.pdf