The template for the IH93 system is an equilateral triangle as shown below. None of the three sides can be shaped . The template and its associated tile have a centre of        three-fold rotation symmetry and three axes of reflection symmetry as  indicated by the dog pattern.

A translation cluster is formed by two tiles.

A section of the tiling formed by 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 centres of rotation symmetry, one two-fold, one three-fold and one six-fold, as well as two axes of mirror reflection and two of glide reflection symmetry. An  example of each is indicated. The tiling symmetry group is p6m.

No shaping of the sides of the template is allowed. Also the template has the full symmetry of an equilateral triangle, so that no internal decoration is required to lower its symmetry.

Only two different colours of tiles are required to avoid a clash of adjacent colours in the tiling.

 Author - Tom P McLean --- tom.mclean@virgin.net