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A Tiling is which all tiles are congruent.
See also Anisohedral Tiling, Isohedral Tiling
References
Berglund, J.  ``Is There a  
Grünbaum, B. and Shephard, G. C.  ``The 81 Types of Isohedral Tilings of the Plane.''  Math. Proc. Cambridge
  Philos. Soc. 82, 177-196, 1977.
 
-Anisohedral Tile for 
?''  Amer. Math. Monthly 100, 585-588, 1993.