Dodecagonal-hexagonal antiprismatic duoprism

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

Vertex coordinates
The vertices of a dodecagonal-hexagonal antiprismatic duoprism of edge length 1 are given by:
 * (±(1+$\sqrt{11+5√3}$)/2, ±(1+$\sqrt{3}$)/2, 0, ±1, $\sqrt{3}$/2)
 * (±(1+$\sqrt{{{radic|3}}-1}$)/2, ±(1+$\sqrt{3}$)/2, ±$\sqrt{3}$/2, ±1/2, $\sqrt{3}$/2)
 * (±(1+$\sqrt{{{radic|3}}-1}$)/2, ±(1+$\sqrt{3}$)/2, ±1, 0, -$\sqrt{3}$/2)
 * (±(1+$\sqrt{{{radic|3}}-1}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±$\sqrt{3}$/2, -$\sqrt{3}$/2)
 * (±1/2, ±(2+$\sqrt{{{radic|3}}-1}$)/2, 0, ±1, $\sqrt{3}$/2)
 * (±1/2, ±(2+$\sqrt{{{radic|3}}-1}$)/2, ±$\sqrt{3}$/2, ±1/2, $\sqrt{3}$/2)
 * (±1/2, ±(2+$\sqrt{{{radic|3}}-1}$)/2, ±1, 0, -$\sqrt{3}$/2)
 * (±1/2, ±(2+$\sqrt{{{radic|3}}-1}$)/2, ±1/2, ±$\sqrt{3}$/2, -$\sqrt{3}$/2)
 * (±(2+$\sqrt{{{radic|3}}-1}$)/2, ±1/2, 0, ±1, $\sqrt{3}$/2)
 * (±(2+$\sqrt{{{radic|3}}-1}$)/2, ±1/2, ±$\sqrt{3}$/2, ±1/2, $\sqrt{3}$/2)
 * (±(2+$\sqrt{{{radic|3}}-1}$)/2, ±1/2, ±1, 0, -$\sqrt{3}$/2)
 * (±(2+$\sqrt{{{radic|3}}-1}$)/2, ±1/2, ±1/2, ±$\sqrt{3}$/2, -$\sqrt{3}$/2)