The template for the IH1 system is any hexagon with its opposite sides equal and parallel to one another. All six 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. An example of a template is
The tile itself constitutes a translation cluster.
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 no rotation or reflection symmetries. Its symmetry group is p1.