Anisohedral Tiling

A $k$-anisohedral tiling is a tiling which permits no $n$-Isohedral Tiling with $n<k$.

References

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

Klee, V. and Wagon, S. Old and New Unsolved Problems in Plane Geometry and Number Theory. Washington, DC: Math. Assoc. Amer., 1991.