A tiling has statistical circular symmetry, if the orientation of the tiles of each kind are equidistributed on the unit sphere. It is shown in [Fre08] that all primitive substitution tilings with tiles in infinitely many orientations are of statistical circular symmetry. For a precise definition of statistical circular symmetry, see [Fre08] .

[fre08]

FrettlĂ¶h, D.

**Substitution tilings with statistical circular symmetry**

*European Journal of Combinatorics*
2008,
29,
pp. 1881-1893,
arxiv 0704.2521