Triangular-hexateric duoprism

The triangular-hexateric duoprism or trahix is a convex uniform duoprism that consists of 3 hexateric prisms and 6 triangular-pentachoric duoprisms. Each vertex joins 2 hexateric prisms and 5 triangular-pentachoric duoprisms. It is a duoprism based on a triangle and a hexateron, and is thus also a convex segmentoexon, as a hexateron atop hexateric prism.

A triangular-hexateric duoprism of edge length 1 can be vertex inscribed into the Hecatonicosihexapentacosiheptacontahexaexon.

Vertex coordinates
The vertices of a triangular-hexateric duoprism of edge length 1 are given by:
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac{1}{2},\,-\frac{\sqrt{3}}{6},\,-\frac{\sqrt{6}}{12},\,-\frac{\sqrt{10}}{20},\,-\frac{\sqrt{15}}{30}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac{1}{2},\,-\frac{\sqrt{3}}{6},\,-\frac{\sqrt{6}}{12},\,-\frac{\sqrt{10}}{20},\,-\frac{\sqrt{15}}{30}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,\frac{\sqrt{3}}{3},\,-\frac{\sqrt{6}}{12},\,-\frac{\sqrt{10}}{20},\,-\frac{\sqrt{15}}{30}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,\frac{\sqrt{3}}{3},\,-\frac{\sqrt{6}}{12},\,-\frac{\sqrt{10}}{20},\,-\frac{\sqrt{15}}{30}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,0,\,\frac{\sqrt{6}}{4},\,-\frac{\sqrt{10}}{20},\,-\frac{\sqrt{15}}{30}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,0,\,\frac{\sqrt{6}}{4},\,-\frac{\sqrt{10}}{20},\,-\frac{\sqrt{15}}{30}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,0,\,0,\,\frac{\sqrt{10}}{5},\,-\frac{\sqrt{15}}{30}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,0,\,0,\,\frac{\sqrt{10}}{5},\,-\frac{\sqrt{15}}{30}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,0,\,0,\,0,\,\frac{\sqrt{15}}{6}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,0,\,0,\,0,\,\frac{\sqrt{15}}{6}\right).$$