Let 
be the group of symmetries which map a monohedral
tiling 
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 
.
Transitivity Class
See also
Monohedral TilingExplore with Wolfram|Alpha
References
Berglund, J. "Is There a
-Anisohedral Tile for 
?" Amer. Math. Monthly 100, 585-588,
1993.Referenced on Wolfram|Alpha
Transitivity ClassCite this as:
Weisstein, Eric W. "Transitivity Class." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TransitivityClass.html