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The template for the IH18 system is a regular hexagon as shown below. All six sides can be shaped all in the same way, as indicated by the half-arrows. The template and any tile shape formed from it have a centre of three-fold rotation and three axes of reflection symmetry as indicated by the dog pattern. The template is
A single tile forms the translation cluster.
A section of the tiling formed by the template is also shown below, with a single-tile translation cluster outlined. The two basic translations are indicated by the vectors drawn from the highlighted cluster. The tiling has two different centres of three-fold rotation symmetry, an axis of mirror and another axis of glide reflection symmetry. An example of each is indicated. The tiling symmetry group is p31m.
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