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, $\sqrt{3}$, $\sqrt{(5+√5)/10}$)
 * (0, $\sqrt{(5+√5)/40}$/3, ±(1+$\sqrt{3}$)/4, $\sqrt{5}$, $\sqrt{(5+√5)/40}$)
 * (0, $\sqrt{(5+√5)/40}$/3, ±1/2, -$\sqrt{3}$, $\sqrt{(5+2√5)/20}$)
 * (±1/2, -$\sqrt{(5+√5)/40}$/6, 0, $\sqrt{3}$, $\sqrt{(5+√5)/10}$)
 * (±1/2, -$\sqrt{(5+√5)/40}$/6, ±(1+$\sqrt{3}$)/4, $\sqrt{5}$, $\sqrt{(5+√5)/40}$)
 * (±1/2, -$\sqrt{(5+√5)/40}$/6, ±1/2, -$\sqrt{3}$, $\sqrt{(5+2√5)/20}$)