Petrial hexagonal tiling

The petrial hexagonal tiling is one of the three regular skew tilings of the Euclidean plane. 3 skew apeirogons meet at each vertex. The petrial hexagonal tiling is the Petrie dual of the hexagonal tiling.

Vertex coordinates
Coordinates for the vertices of a petrial hexagonal tiling of edge length 1 are given by


 * $$\left(3i\pm\frac12,\,\sqrt3j+\frac{\sqrt3}{2}\right),$$
 * $$\left(3i\pm1,\,\sqrt3j\right),$$

where i and j range over the integers.

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