Cromwell Kite-Rhombus-Trapezium

• Canonical Substitution Tiling
• Finite Rotations
• MLD Class Penrose
• Polytopal Windowed Tiling
• Rhomb Tiles
• Without Decoration

Info

The tiling shares a mld-class with the Penrose Tilings, e.g. Penrose Rhomb, Penrose kite-dart and Penrose Pentagon boat star). The inflation factor is the square of the golden mean $(\frac{\sqrt{5}}{2} + \frac{1}{2})^{2} = \frac{\sqrt{5}}{2} + \frac{3}{2} = 2.618033988\ldots$. In contrast to the Penrose Tilings the interior angles of the prototiles are larger than $36^{\circ}$.

Substitution Rule

Patch

download vectorformat Cromwell Kite-Rhombus-Trapezium

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References

[Cro2022]
Cromwell, Peter
From Substitution Tilings to Geometric Patterns in Islamic Styles
2022, DOI:10.13140/RG.2.2.11290.52169

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