Elongated pentagonal bipyramid

The elongated pentagonal bipyramid, or epedpy, is one of the 92 Johnson solids (J16). It consists of 10 triangles and 5 squares. It can be constructed by inserting a pentagonal prism between the halves of the pentagonal bipyramid.

Vertex coordinates
An elongated pentagonal bipyramid of edge length 1 has the following vertices:
 * (±1/2, –$\sqrt{2}$, ±1/2),
 * (±(1+$\sqrt{5}$)/4, $\sqrt{25+10√5}$, ±1/2),
 * (0, $\sqrt{5}$, ±1/2),
 * (0, 0, ±(1+$\sqrt{(10–2√5)/15}$/2).