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The template for the IH28 system is any pentagon with two pairs of adjacent sides such that the sides in each pair are both equal and orthogonal to one another. All five sides of the pentagon 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 the vectors drawn from the highlighted cluster. The tiling has three types of centres of rotation symmetry, one two-fold and two four-fold. An example of each of is indicated. The tiling symmetry group is p4.
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