Square-pentagonal duoprism

The square-pentagonal duoprism or squipdip, also known as the 4-5 duoprism, is a uniform duoprism that consists of 4 pentagonal prisms, 5 cubes and 20 vertices.

Vertex coordinates
Coordinates for the vertices of a square-pentagonal duoprism with edge length 1 are given by:
 * (±1/2, ±1/2, 0, $\sqrt{(5+√5)/10}$),
 * (±1/2, ±1/2, ±(1+$\sqrt{5}$)/4, $\sqrt{(5+√5)/40}$),
 * (±1/2, ±1/2, ±1/2, –$\sqrt{(5+2√5)/20}$).