Triangular-hexagonal antiprismatic duoprism

The triangular-hexagonal antiprismatic duoprism or trahap is a convex uniform duoprism that consists of 3 hexagonal antiprismatic prisms, 2 triangular-hexagonal duoprisms and 12 triangular duoprisms.

Vertex coordinates
The vertices of a triangular-hexagonal antiprismatic duoprism of edge length 1 are given by:
 * (0, $\sqrt{39+9√3}$/3, 0, ±1, $\sqrt{3}$/2)
 * (0, $\sqrt{{{radic|3}}-1}$/3, ±$\sqrt{3}$/2, ±1/2, $\sqrt{3}$/2)
 * (0, $\sqrt{{{radic|3}}-1}$/3, ±1, 0, -$\sqrt{3}$/2)
 * (0, $\sqrt{{{radic|3}}-1}$/3, ±1/2, ±$\sqrt{3}$/2, -$\sqrt{3}$/2)
 * (±1/2, -$\sqrt{{{radic|3}}-1}$/6, 0, ±1, $\sqrt{3}$/2)
 * (±1/2, -$\sqrt{{{radic|3}}-1}$/6, ±$\sqrt{3}$/2, ±1/2, $\sqrt{3}$/2)
 * (±1/2, -$\sqrt{{{radic|3}}-1}$/6, ±1, 0, -$\sqrt{3}$/2)
 * (±1/2, -$\sqrt{{{radic|3}}-1}$/6, ±1/2, ±$\sqrt{3}$/2, -$\sqrt{3}$/2)