Square-pentagonal antiprismatic duoprism

The square-pentagonal antiprismatic duoprism or squapap is a convex uniform duoprism that consists of 4 pentagonal antiprismatic prisms, 2 square-pentagonal duoprisms and 10 triangular-square duoprisms.

Vertex coordinates
The vertices of a square-pentagonal antiprismatic duoprism of edge length 1 are given by all central inversions of the last three coordinates of:
 * (±1/2, ±1/2, 0, $\sqrt{138+18√5}$, $\sqrt{(5+√5)/10}$)
 * (±1/2, ±1/2, ±(1+$\sqrt{(5+√5)/40}$)/4, $\sqrt{5}$, $\sqrt{(5+√5)/40}$)
 * (±1/2, ±1/2, ±1/2, -$\sqrt{(5+√5)/40}$, $\sqrt{(5+2√5)/20}$)