Decagonal-hexagonal antiprismatic duoprism

The decagonal-hexagonal antiprismatic duoprism or dahap is a convex uniform duoprism that consists of 10 hexagonal antiprismatic prisms, 2 hexagonal-decagonal duoprisms and 12 triangular-decagonal duoprisms.

Vertex coordinates
The vertices of a decagonal-hexagonal antiprismatic duoprism of edge length 1 are given by:
 * (0, ±(1+$\sqrt{9+√23+4√15}$)/2, 0, ±1, $\sqrt{5}$/2)
 * (0, ±(1+$\sqrt{{{radic|3}}-1}$)/2, ±$\sqrt{5}$/2, ±1/2, $\sqrt{3}$/2)
 * (0, ±(1+$\sqrt{{{radic|3}}-1}$)/2, ±1, 0, -$\sqrt{5}$/2)
 * (0, ±(1+$\sqrt{{{radic|3}}-1}$)/2, ±1/2, ±$\sqrt{5}$/2, -$\sqrt{3}$/2)
 * (±$\sqrt{{{radic|3}}-1}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, ±1, $\sqrt{5}$/2)
 * (±$\sqrt{{{radic|3}}-1}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/2, ±1/2, $\sqrt{3}$/2)
 * (±$\sqrt{{{radic|3}}-1}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±1, 0, -$\sqrt{5}$/2)
 * (±$\sqrt{{{radic|3}}-1}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±1/2, ±$\sqrt{5}$/2, -$\sqrt{3}$/2)
 * (±$\sqrt{{{radic|3}}-1}$/2, ±1/2, 0, ±1, $\sqrt{5+2√5}$/2)
 * (±$\sqrt{{{radic|3}}-1}$/2, ±1/2, ±$\sqrt{5+2√5}$/2, ±1/2, $\sqrt{3}$/2)
 * (±$\sqrt{{{radic|3}}-1}$/2, ±1/2, ±1, 0, -$\sqrt{5+2√5}$/2)
 * (±$\sqrt{{{radic|3}}-1}$/2, ±1/2, ±1/2, ±$\sqrt{5+2√5}$/2, -$\sqrt{3}$/2)