## 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.

### 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