Elongated pentagonal pyramid

The elongated pentagonal pyramid, or epeppy, is one of the 92 Johnson solids. It consists of 5 triangles, 5 squares, and 1 pentagon. It can be constructed by attaching a pentagonal prism to the base of the pentagonal pyramid..

If a second pyramid is attached to the other base of the pentagonal prism, the result is the elongated pentagonal bipyramid.

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