Elongated pentagonal gyrobicupola

The elongated pentagonal gyrobicupola, or epigybcu, is one of the 92 Johnson solids (J39). It consists of 10 triangles, 10+10 squares, and 2 pentagons. It can be constructed by inserting a decagonal prism between the two halves of the pentagonal gyrobicupola.

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