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The template for the IH33 system is a rhombus with angles of 60° and 120°, as shown below. All four 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 from this template is also shown below, with a translation cluster outlined. The two basic translations are indicated by the vectors drawn from the highlighted cluster. The tiling has three types of centres of three-fold rotation symmetry. An example of each is indicated. The tiling symmetry group is p3.
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