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The template for the IH26 system is any pentagon formed by making one of the sides of a rectangle the base of an isosceles triangle. The triangle can be mounted either externally or internally; in the latter case its size is limited to avoid overlap with the opposite side of the rectangle. Examples are shown of both cases with the rectangle indicated by the dotted line. Only the two equal sides of the isosceles triangle can be shaped as indicated by the half-arrows. The template and any tile shape formed from it have one axis of internal reflection symmetry, as indicated by the dog pattern.
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 vectors drawn from the highlighted cluster. The tiling has four different centres of two-fold rotation symmetry, two different axes of glide and another two of mirror reflection symmetry; an example of each is shown. The symmetry group of the tiling is cmm.
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