Transitivity Class

Let $S(T)$ be the group of symmetries which map a Monohedral Tiling $T$ onto itself. The Transitivity Class of a given tile T is then the collection of all tiles to which T can be mapped by one of the symmetries of $S(T)$.

See also Monohedral Tiling

References

Berglund, J. ``Is There a $k$-Anisohedral Tile for $k\geq 5$?'' Amer. Math. Monthly 100, 585-588, 1993.