Pentagonal-square antiprismatic duoprism

The pentagonal-square antiprismatic duoprism or pesquap is a convex uniform duoprism that consists of 5 square antiprismatic prisms, 2 square-pentagonal duoprisms and 8 triangular-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-square antiprismatic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±1/2, ±1/2, ±1/2, ±1/2, $\sqrt{400+10√130+40√10}$/4)
 * (±1/2, ±1/2, 0, ±$\sqrt{2√2}$/2, -$\sqrt{2}$/4)
 * (±1/2, ±1/2, ±$\sqrt{2√2}$/2, 0, -$\sqrt{2}$/4)