Elongated pentagonal orthobirotunda

The elongated pentagonal orthobirotunda, or epobro, is one of the 92 Johnson solids (J42). It consists of 10+10 triangles, 5+5 squares, and 2+10 pentagons. It can be constructed by inserting a decagonal prism between the two halves of the pentagonal orthobirotunda.

Vertex coordinates
An elongated pentagonal orthobirotunda of edge length 1 has the following vertices:
 * (±1/2, ±$\sqrt{5}$/2, ±1/2),
 * (±(3+$\sqrt{5}$)/4, ±$\sqrt{2}$, ±1/2),
 * (±(1+$\sqrt{2}$)/2, 0, ±1/2),
 * (±1/2, –$\sqrt{5}$, ±(1+2$\sqrt{5+2√5}$)/2),
 * (±(1+$\sqrt{2(5+√5)/15}$)/4, $\sqrt{5}$, ±(1+2$\sqrt{5+2√5)/15}$)/2),
 * (0, $\sqrt{(5+2√5)}$, ±(1+2$\sqrt{5}$)/2),
 * (±(1+$\sqrt{(5+√5)/8}$)/4, $\sqrt{5}$, ±(1+2$\sqrt{(5+2√5)/20}$)/2),
 * (±(3+$\sqrt{(5+2√5)/5}$)/4, –$\sqrt{5}$, ±(1+2$\sqrt{(5+√5)/40}$)/2),
 * (0, –$\sqrt{(5+2√5)/5}$, ±(1+2$\sqrt{(5+√5)/10}$)/2).