The template for the IH47 system is any parallelogram. All four sides can be shaped as indicated by the half-arrows.  The template and any tile shape formed from it have no internal symmetry, as indicated by the dog.

A translation cluster is

A section of the tiling formed by this template is shown below, with a translation cluster outlined.  The two basic translations are indicated by  the vectors drawn from the highlighted cluster. The tiling has four different centres of two-fold rotation symmetry. Its symmetry group is p2.
 

As an example, a lizard shaped tile, based on a design by Escher, can be formed as shown

Two differently coloured tiles are required to ensure no tiles of the same colour are adjacent to one another.

 Author - Tom P McLean --- tom.mclean@virgin.net