Elongated triangular bipyramid

The elongated triangular bipyramid, or etidpy, is one of the 92 Johnson solids. 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:
 * (±1/2, –$\sqrt{2}$/6, ±1/2),
 * (0, $\sqrt{2}$/3, ±1/2),
 * (0, 0, ±(3+2$\sqrt{3}$)/3).