## Quartic pinwheel

### Info

One of the rare examples of a tiling where the prototiles occur in infinitely many orientations.
Apart from the pinwheel tiling and its generalizations [Sad98] there are only a few examples known which show infinite rotations.

The inflation factor of this one is a complex algebraic PV number of degree four.
As the scaling and the rotations for the tiles are all given by algebraic units,
every vertex of the tiling lies within a finitely generated Z-module.

### Substitution Rule

### Patch

### References

[Sad98]

Sadun, L.

**Some generalizations of the pinwheel tiling**

*Discrete Comput. Geom.*
1998,
20,1,
pp. 79–110,
1626703