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The template for the IH58 system is any parallelogram. Only two opposite sides can be shaped and each must be in the same way, as indicated by the half-arrows. The template and any tile shape formed from it have a centre of two-fold rotation symmetry, as indicated by the dog pattern.
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 two different centres of two-fold rotation symmetry, two different axes of glide and one of mirror reflection symmetry. Examples of each are shown. The symmetry group of the tiling is pmg.
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