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The template for the IH90 system is an equilateral triangle. All three sides can be shaped, but all must be in the same way as indicated by the half-arrows. The template and any tile shape formed from it have a three-fold axis of rotational symmetry, as indicated by the dog pattern.
A translation cluster requires two tiles. An example 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 three axes of rotation symmetry; one is two-fold, one three-fold and one six-fold. An example of each is shown.. The symmetry group of the tiling is p6.
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