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. Each vertex joins 2 pentagonal antiprismatic prisms, 3 triangular duoprisms, and 1 triangular-pentagonal duoprism. It is a duoprism based on a triangle and a pentagonal antiprism, which makes it a convex segmentoteron.

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:
 * $$\left(0,\,\frac{\sqrt3}3,\,0,\,\sqrt{\frac{5+\sqrt5}{10}},\,\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,0,\,\sqrt{\frac{5+\sqrt5}{10}},\,\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{1+\sqrt5}4,\,\sqrt{\frac{5-\sqrt5}{40}},\,\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{1+\sqrt5}4,\,\sqrt{\frac{5-\sqrt5}{40}},\,\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,\sqrt{\frac{5+\sqrt5}{40}}\right).$$

Representations
A triangular-pentagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x3o s2s10o (full symmetry; pentagonal antiprisms as alternated decagonal prisms)
 * x3o s2s5s (pentagonal antiprisms as alternated dipentagonal prisms)