The template for the IH70 system is a square as shown below. None of the four sides can be shaped . The template and its associated tile have an axis of reflection symmetry as indicated by the dog pattern.
A translation cluster is
A section of the tiling formed by this template is also shown below, with a translation cluster outlined. The two basic translations are indicated by the vectors drawn from the highlighted cluster. The tiling has one centre of two-fold and two of four-fold rotation symmetry, as well as three axes of mirror reflection and one of glide reflection symmetry. An example of each is indicated. The tiling symmetry group is p4m.
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