Elongated triangular gyrobicupola

The elongated triangular gyrobicupola is one of the 92 Johnson solids (J36). It consists of 2+6 triangles and 6+6 squares. It can be constructed by inserting a hexagonal prism between the two halves of the cuboctahedron, seen as a triangular gyrobicupola.

Vertex coordinates
An elongated triangular orthobicupola of edge length 1 has the following vertices:
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,±\frac12\right),$$
 * $$\left(±1,\,0,\,±\frac12\right),$$
 * $$±\left(±\frac12,\,-\frac{\sqrt3}{6},\,\frac{3+2\sqrt3}{6}\right),$$
 * $$±\left(0,\,\frac{\sqrt3}{3},\,\frac{3+2\sqrt3}{6}\right).$$