TOPICS
A plane tiling is said to be isohedral if the symmetry group of the tiling acts transitively on the tiles, and 
-isohedral
if the tiles fall into n orbits under the action of the symmetry group of the tiling.
A 
-anisohedral
tiling is a tiling which permits no 
-isohedral tiling with
.
The numbers of anisohedral polyominoes with 
, 9, 10, ... are 1, 9, 44, 108, 222, ... (OEIS A075206),
the first few of which are illustrated above (Myers).
-Anisohedral Tile for 
?" Amer. Math. Monthly 100, 585-588,
1993.Berglund, J. "Anisohedral Tilings Page." http://www.angelfire.com/mn3/anisohedral/.Grünbaum,
B. and Shephard, G. C. §9.4 in Tilings
and Patterns. New York: W. H. Freeman, 1986.Klee, V. and
Wagon, S. Old
and New Unsolved Problems in Plane Geometry and Number Theory. Washington,
DC: Math. Assoc. Amer., 1991.Myers, J. "Polyomino Tiling."
http://www.srcf.ucam.org/~jsm28/tiling/.Sloane,
N. J. A. Sequence A075206 in "The
On-Line Encyclopedia of Integer Sequences."Weisstein, Eric W. "Anisohedral Tiling." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AnisohedralTiling.html