The template for the IH48 system is a rectangle as shown below. None of the four sides can be shaped . The template and its associated tile have no overall symmetry as  indicated by the dog pattern.

A translation cluster is

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 four centres of two-fold rotation symmetry, and four axes of mirror reflection symmetry. An example of each is indicated. The tiling symmetry group is pmm.

No shaping of the template sides is allowed. But since any associated tile must have no internal symmetry, it must be decorated internally to indicate its lower symmetry from that of its rectangular shape. An example is as follows.

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

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