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The template for the IH8 system is any hexagon with the opposite sides parallel and equal in pairs. All six sides can be shaped 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. An example of a template is
A single template forms its own 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 vectors drawn from the highlighted cluster. The tiling has four different centres of two-fold rotation symmetry, an example of each of which is shown. There are no reflection symmetries. The symmetry group of the tiling is p2.
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