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The template for the IH24 system is any pentagon with one pair of equal and parallel sides. Only four of the five 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.
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. Its symmetry group is pmg.
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