Petrial small stellated dodecahedron

The petrial small stellated dodecahedron is a regular skew polyhedron consisting of 10 skew hexagons. It is the Petrie dual of the small stellated dodecahedron, and has an Euler characteristic of -8.

Vertex coordinates
The vertices of the petrial small stellated dodecahedron are the same as the icosahedron, being all cyclic permutations of:
 * $$\left(0,\,\pm\frac{1}{2},\,\pm\frac{1+\sqrt{5}}{4}\right).$$

Related polyhedra
The rectification of the petrial small stellated dodecahedron is the small dodecahemicosahedron, which is uniform.