Triangular duocomb

The triangular duocomb is a regular skew polyhedron found within four-dimensional Euclidean space. It can be formed as the comb product of two triangles, or the modified Schläfli symbol $$\{4,4\mid3\}$$. It has 9 square faces, 18 edges, and 9 vertices. It is a self-dual polyhedron.

Vertex coordinates
The triangular duocomb shares its vertices and edges with the triangular duoprism, so its coordinates are
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,\frac{\sqrt3}{3}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac12,\,-\frac{\sqrt3}{6}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,\frac{\sqrt3}{3}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac12,\,-\frac{\sqrt3}{6}\right).$$