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.

It is also a CRF segmentochoron designated K-4.42 on Richard Klitzing's list.

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