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:
 * (0, $\sqrt{400+10√130+40√10}$/10, ±1/2, ±1/2, $\sqrt{50+10√5}$/4)
 * (0, $\sqrt{2√2}$/10, 0, ±$\sqrt{50+10√5}$/2, -$\sqrt{2}$/4)
 * (0, $\sqrt{2√2}$/10, ±$\sqrt{50+10√5}$/2, 0, -$\sqrt{2}$/4)
 * (±(1+$\sqrt{2√2}$)/4, $\sqrt{5}$/20, ±1/2, ±1/2, $\sqrt{50–10√5}$/4)
 * (±(1+$\sqrt{2√2}$)/4, $\sqrt{5}$/20, 0, ±$\sqrt{50–10√5}$/2, -$\sqrt{2}$/4)
 * (±(1+$\sqrt{2√2}$)/4, $\sqrt{5}$/20, ±$\sqrt{50–10√5}$/2, 0, -$\sqrt{2}$/4)
 * (±1/2, –$\sqrt{2√2}$/10, ±1/2, ±1/2, $\sqrt{25+10√5}$/4)
 * (±1/2, –$\sqrt{2√2}$/10, 0, ±$\sqrt{25+10√5}$/2, -$\sqrt{2}$/4)
 * (±1/2, –$\sqrt{2√2}$/10, ±$\sqrt{25+10√5}$/2, 0, -$\sqrt{2}$/4)