The image shows a Poincaré disk model projection of the hyperbolic plane.

It is the dual tessellation of the truncated triheptagonal tiling which has one square and one heptagon and one tetrakaidecagon at each vertex.

Three isohedral (regular or quasiregular) tilings can be constructed from this tiling by combining triangles: It is topologically related to a polyhedra sequence; see discussion.

This group is special for having all even number of edges per vertex and form bisecting planes through the polyhedra and infinite lines in the plane, and are the reflection domains for the (2,3,n) triangle groups – for the heptagonal tiling, the important (2,3,7) triangle group.

The kisrhombille tilings can be seen as from the sequence of rhombille tilings, starting with the cube, with faces divided or kissed at the corners by a face central point.