Triangular-rectified pentachoric duoprism

The triangular-rectified pentachoric duoprism or trarap is a convex uniform duoprism that consists of 3 rectified pentachoric prisms, 5 triangular-octahedral duoprisms, and 5 triangular-tetrahedral duoprisms. Each vertex joins 2 rectified pentachoric prisms, 2 triangular-tetrahedral duoprisms, and 3 triangular-octahedral duoprisms. It is a duoprism based on a triangle and a rectified pentachoron, and is thus also a convex segmentopeton, as a rectified pentachoron atop rectified pentachoric prism.

Vertex coordinates
The vertices of a triangular-rectified pentachoric duoprism of edge length 1 are given by:
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,-\frac{3\sqrt{10}}{20},\,-\frac{\sqrt6}{4},\,0,\,0\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,-\frac{3\sqrt{10}}{20},\,-\frac{\sqrt6}{4},\,0,\,0\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,-\frac{3\sqrt{10}}{20},\,\frac{\sqrt6}{12},\,-\frac{\sqrt3}{3},\,0\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,-\frac{3\sqrt{10}}{20},\,\frac{\sqrt6}{12},\,-\frac{\sqrt3}{3},\,0\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,-\frac{3\sqrt{10}}{20},\,\frac{\sqrt6}{12},\,\frac{\sqrt3}{6},\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,-\frac{3\sqrt{10}}{20},\,\frac{\sqrt6}{12},\,\frac{\sqrt3}{6},\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,\frac{\sqrt{10}}{10},\,\frac{\sqrt6}{6},\,\frac{\sqrt3}{3},\,0\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,\frac{\sqrt{10}}{10},\,\frac{\sqrt6}{6},\,\frac{\sqrt3}{3},\,0\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,\frac{\sqrt{10}}{10},\,-\frac{\sqrt6}{6},\,-\frac{\sqrt3}{3},\,0\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,\frac{\sqrt{10}}{10},\,-\frac{\sqrt6}{6},\,-\frac{\sqrt3}{3},\,0\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,\frac{\sqrt{10}}{10},\,\frac{\sqrt6}{6},\,-\frac{\sqrt3}{6},\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,\frac{\sqrt{10}}{10},\,\frac{\sqrt6}{6},\,-\frac{\sqrt3}{6},\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,\frac{\sqrt{10}}{10},\,-\frac{\sqrt6}{6},\,\frac{\sqrt3}{6},\,±\frac12\right),$$
 * $$\left(0,\,-\frac{\sqrt3}{3},\,\frac{\sqrt{10}}{10},\,-\frac{\sqrt6}{6},\,\frac{\sqrt3}{6},\,±\frac12\right).$$

Representations
A triangular-rectified pentachoric duoprism has the following Coxeter diagrams:


 * x3o o3x3o3o (full symmetry)
 * xx3oo xo3ox3oo&#x (A3×A2 symmetry, triangular-tetrahedral duoprism atop triangular-octahedral duoprism)
 * ox oo3xx3oo3oo&#x (A4×A1 symmetry, rectified pentachoron atop rectified pentachoric prism)