## Substitution Tiling with Dense Tile Orientations and 5-fold Rotational Symmetry

### Info

A substitution rule that gives rise to an aperiodic tiling with dense tile orientations and 5-fold rotational symmetry. The substitution factor is `$\sqrt{6+\sqrt{5}}$`

. The tiling has finite local complexity with respect to rigid motions.

### Substitution Rule

### Patch

download vectorformat Substitution Tiling with Dense Tile Orientations and 5-fold Rotational Symmetry

### References

[fre17]

Frettlöh, D and Say-awen, A. L. D. and de las Peñas, M. L. A. N.

**Substitution tilings with dense tile orientations and n-fold rotational symmetry.**

*Indagationes Mathematicae*
2017,
28(1),
pp. 120-131,
arxiv 1602.00518