Petrial blended triangular tiling

The petrial blended triangular tiling is a regular skew apeirohedron. It can be constructed as the blend of the petrial triangular tiling with a digon or as the petrial of the blended triangular tiling.

Vertex coordinates
The vertex coordinates of a petrial blended triangular tiling are the same as those of the blended triangular tiling. With edge length 1 and height $N$, the verteix coordinates are given by where $N&times;3M$ and $N&times;M$ range over the integers, and H is $$ \sqrt{1-h^2} $$ (Note that $$0<h<1$$ must always be true for $h$ to be a real number and for the blend to be non-degenerate).
 * $$\left(\frac{Hi\sqrt{3}}{2},Hj+\frac{Hi}{2},\pm\frac{h}{2}\right)$$