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The template for the IH20 system is a regular hexagon as shown below. None of six sides can be shaped as indicated by the arrowheads. The template and its associated tile have a centre of six-fold rotation symmetry and six axes of reflection symmetry as indicated by the dog pattern.
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 three different centres of rotation symmetry, one two-fold, one three-fold and one four-fold, as well as two axes of mirror and two axes of glide reflection symmetry. An example of each is indicated. The tiling symmetry group is p6m.
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