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The template for the IH73 system is a square as shown below. All four sides can be shaped all in a similar way with the shape being symmetrical about its centre, as indicated by the half-arrows. The template and any tile shape formed from it have a centre of two-fold rotation symmetry and two axes 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 two types of centres of rotation symmetry, one two-fold and the other four-fold, two different axes of glide and one of mirror reflection symmetry. An example of each is indicated. The tiling symmetry group is p4g.
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