Petrial triangular tiling

The petrial triangular tiling is one of three regular skew tilings of the Euclidean plane. Six skew apeirogons meet at a vertex and it is the Petrie dual of the triangular tiling.

Vertex coordinates
The vertex coordinates of a petrial triangular tiling with edge length one are the same as the triangular tiling, being


 * $$(i\frac{\sqrt{3}}{2}, j+\frac{i}{2}),$$

where i and j range over the integers.

Related polyhedra
The rectification of the petrial triangular tiling is the hexagonal-hemiapeirogonal tiling, which is a uniform tiling.