The template for the IH68 system is any rhombus. All sides of the rhombus can be shaped, but all in the same way, as indicated by the half-arrows. The template and any tile shape formed from it have an axis of reflection symmetry as indicated by the dog pattern. An example of a template is
A single tile forms 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 the vectors drawn from the highlighted cluster. The tiling has one axis of glide and one of mirror reflection symmetry, as indicated. The tiling symmetry group is cm.
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