## Girih inspired 14-fold Tiling

### Info

A tiling resembling Islamic Girih patterns but using 14-fold
symmetry rather than 8- or 10- or 12-fold.
Its inflation factor is `$1 + \cos(\frac{\pi}{14}) \csc(\frac{\pi}{7}) + 2 \cos(\frac{3 \pi}{14}) \csc(\frac{\pi}{7}) = 6.850855...$`

which is a unit but not a PV number.
It uses 11 prototiles altogether, 10 of them showing `$D_2$`

-symmetry
and one showing `$D_{14}$`

-symmetry. This shows that all resulting tilings
have local patches with 14-fold symmetry, and that the hull
contains tilings with global 14-fold symmetry.

### Substitution Rule

### Patch

download vectorformat Girih inspired 14-fold Tiling

### References

[Pau2017]

Pautze, S

**Cyclotomic aperiodic substitution tilings**

*Symmetry*
2017,
9(2),
doi.org/10.3390/sym9020019