Pentagonal-hexagonal antiprismatic duoprism

The pentagonal-hexagonal antiprismatic duoprism or pehap is a convex uniform duoprism that consists of 5 hexagonal antiprismatic prisms, 2 pentagonal-hexagonal duoprisms and 12 triangular-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-hexagonal antiprismatic duoprism of edge length 1 are given by:
 * (0, $\sqrt{5+√3}$/10, 0, ±1, $\sqrt{50+10√5}$/2)
 * (0, $\sqrt{{{radic|3}}-1}$/10, ±$\sqrt{50+10√5}$/2, ±1/2, $\sqrt{3}$/2)
 * (0, $\sqrt{{{radic|3}}-1}$/10, ±1, 0, -$\sqrt{50+10√5}$/2)
 * (0, $\sqrt{{{radic|3}}-1}$/10, ±1/2, ±$\sqrt{50+10√5}$/2, -$\sqrt{3}$/2)
 * (±(1+$\sqrt{{{radic|3}}-1}$)/4, $\sqrt{5}$/20, 0, ±1, $\sqrt{50–10√5}$/2)
 * (±(1+$\sqrt{{{radic|3}}-1}$)/4, $\sqrt{5}$/20, ±$\sqrt{50–10√5}$/2, ±1/2, $\sqrt{3}$/2)
 * (±(1+$\sqrt{{{radic|3}}-1}$)/4, $\sqrt{5}$/20, ±1, 0, -$\sqrt{50–10√5}$/2)
 * (±(1+$\sqrt{{{radic|3}}-1}$)/4, $\sqrt{5}$/20, ±1/2, ±$\sqrt{50–10√5}$/2, -$\sqrt{3}$/2)
 * (±1/2, –$\sqrt{{{radic|3}}-1}$/10, 0, ±1, $\sqrt{25+10√5}$/2)
 * (±1/2, –$\sqrt{{{radic|3}}-1}$/10, ±$\sqrt{25+10√5}$/2, ±1/2, $\sqrt{3}$/2)
 * (±1/2, –$\sqrt{{{radic|3}}-1}$/10, ±1, 0, -$\sqrt{25+10√5}$/2)
 * (±1/2, –$\sqrt{{{radic|3}}-1}$/10, ±1/2, ±$\sqrt{25+10√5}$/2, -$\sqrt{3}$/2)