Elongated triangular gyrobicupola

The elongated triangular gyrobicupola, or etigybcu, 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:
 * (±1/2, ±$\sqrt{2}$/2, ±1/2),
 * (±1, 0, ±1/2),
 * (±1/2, –$\sqrt{2}$/6, (3+2$\sqrt{2}$)/6),
 * (0, $\sqrt{2}$/3, (3+2$\sqrt{2}$)/6),
 * (±1/2, $\sqrt{3}$/6, –(3+2$\sqrt{2}$)/6),
 * (0, –$\sqrt{6}$/3, –(3+2$\sqrt{3}$)/6).