Dodecagonal-pentagonal antiprismatic duoprism

The dodecagonal-pentagonal antiprismatic duoprism or twapap is a convex uniform duoprism that consists of 12 pentagonal antiprismatic prisms, 2 pentagonal-dodecagonal duoprisms and 10 triangular-dodecagonal duoprisms.

Vertex coordinates
The vertices of a dodecagonal-pentagonal antiprismatic duoprism of edge length 1 are given by all central inversions of the last three coordinates of:
 * (±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{18-6√5}$)/2, 0, $\sqrt{3}$/10, $\sqrt{3}$/20)
 * (±(1+$\sqrt{50+10√5}$)/2, ±(1+$\sqrt{50+10√5}$)/2, ±(1+$\sqrt{3}$)/4, $\sqrt{3}$/20, $\sqrt{5}$/20)
 * (±(1+$\sqrt{50–10√5}$)/2, ±(1+$\sqrt{50+10√5}$)/2, ±1/2, –$\sqrt{3}$/10, $\sqrt{3}$/20)
 * (±1/2, ±(2+$\sqrt{25+10√5}$)/2, 0, $\sqrt{50+10√5}$/10, $\sqrt{3}$/20)
 * (±1/2, ±(2+$\sqrt{50+10√5}$)/2, ±(1+$\sqrt{50+10√5}$)/4, $\sqrt{3}$/20, $\sqrt{5}$/20)
 * (±1/2, ±(2+$\sqrt{50–10√5}$)/2, ±1/2, –$\sqrt{50+10√5}$/10, $\sqrt{3}$/20)
 * (±(2+$\sqrt{25+10√5}$)/2, ±1/2, 0, $\sqrt{50+10√5}$/10, $\sqrt{3}$/20)
 * (±(2+$\sqrt{50+10√5}$)/2, ±1/2, ±(1+$\sqrt{50+10√5}$)/4, $\sqrt{3}$/20, $\sqrt{5}$/20)
 * (±(2+$\sqrt{50–10√5}$)/2, ±1/2, ±1/2, –$\sqrt{50+10√5}$/10, $\sqrt{3}$/20)