Elongated triangular bipyramid

The elongated triangular bipyramid, or etidpy, is one of the 92 Johnson solids (J14). It consists of 6 triangles and 3 squares. It can be constructed by inserting a triangular prism between the two halves of the triangular bipyramid.

Vertex coordinates
An elongated triangular bipyramid of edge length 1 has the following vertices:
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac12\right),$$
 * $$\left(0,\,0,\,±\frac{3+2\sqrt6}{6}\right).$$