The template for the IH86 system is any isosceles triangle. All three sides can be shaped as indicated by the            half-arrows. The template and any tile shape formed from it have no internal symmetry, as indicated by the dog.

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  two different centres of two-fold rotation symmetry, and two different axes of glide reflection symmetry; an example of each is shown. The  symmetry group of the tiling is  pgg.
 

As an example, a shaped tile, which can be decorated to ressemble an animal's, can be formed as follows

Only two different colours are required in the tiles to avoid tiles of the same colour being adjacent to one another.

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