The template for the IH76 system is a square as shown below. None of the four sides can be shaped. The template and its associated tile have the full symmetry of a square, viz a centre of four-fold rotation symmetry and four axes of reflection symmetry as indicated by the dog pattern.

A single tile forms the translation cluster.

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 one centre of two-fold and two of four-fold rotation symmetry, as well as three axes of mirror reflection and one of glide reflection symmetry. An  example of each  is  indicated. The tiling symmetry group is p4m.

No shaping of the sides of the template is allowed. Also the template has the full symmetry of a square so that no internal decoration is required to lower its symmetry.

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