Pentagonal-cubic duoprism

The pentagonal-cubic duoprism or pecube is a convex uniform duoprism that consists of 5 tesseracts and 6 square-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-cubic duoprism of edge length 1 are given by:
 * (0, $\sqrt{125+10√5}$/10, ±1/2, ±1/2, ±1/2)
 * (±(1+$\sqrt{50+10√5}$)/4, $\sqrt{5}$/20, ±1/2, ±1/2, ±1/2)
 * (±1/2, -$\sqrt{50-10√5}$/10, ±1/2, ±1/2, ±1/2)