Triangular-pentagonal antiprismatic duoprism

The triangular-pentagonal antiprismatic duoprism or trapap is a convex uniform duoprism that consists of 3 pentagonal antiprismatic prisms, 2 triangular-pentagonal duoprisms and 10 triangular duoprisms.

Vertex coordinates
The vertices of a triangular-pentagonal antiprismatic duoprism of edge length 1 are given by all central inversions of the last three coordinates of:
 * (0, $\sqrt{138+18√5}$/3, 0, $\sqrt{3}$/10, $\sqrt{50+10√5}$/20)
 * (0, $\sqrt{50+10√5}$/3, ±(1+$\sqrt{3}$)/4, $\sqrt{5}$/20, $\sqrt{50–10√5}$/20)
 * (0, $\sqrt{50+10√5}$/3, ±1/2, –$\sqrt{3}$/10, $\sqrt{25+10√5}$/20)
 * (±1/2, -$\sqrt{50+10√5}$/6, 0, $\sqrt{3}$/10, $\sqrt{50+10√5}$/20)
 * (±1/2, -$\sqrt{50+10√5}$/6, ±(1+$\sqrt{3}$)/4, $\sqrt{5}$/20, $\sqrt{50–10√5}$/20)
 * (±1/2, -$\sqrt{50+10√5}$/6, ±1/2, –$\sqrt{3}$/10, $\sqrt{25+10√5}$/20)