Octahedral-pentachoric duoprism

The octahedral-pentachoric duoprism or octpen is a convex uniform duoprism that consists of 8 triangular-pentachoric duoprisms and 5 tetrahedral-octahedral duoprisms. Each vertex joins 4 triangular-pentachoric duoprisms and 4 tetrahedral-octahedral duoprisms. It is a duoprism based on an octahedron and a pentachoron, and is thus also a convex segmentoexon, as a triangular-pentachoric duoprism atop triangle-dual triangular-pentachoric duoprism.

Vertex coordinates
The vertices of an octahedral-pentachoric duoprism of edge length 1 are given by all permutations of the first three coordinates of:
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,±\frac{1}{2},\,-\frac{\sqrt{3}}{6},\,-\frac{\sqrt{6}}{12},\,-\frac{\sqrt{10}}{20}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,0,\,\frac{\sqrt{3}}{3},\,-\frac{\sqrt{6}}{12},\,-\frac{\sqrt{10}}{20}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,0,\,0,\,\frac{\sqrt{6}}{4},\,-\frac{\sqrt{10}}{20}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,0,\,0,\,0,\,\frac{\sqrt{10}}{5}\right),$$

Representations
An octahedral-pentachoric duoprism has the following Coxeter diagrams:


 * o4o3x x3o3o3o (full symmetry)
 * o3x3o x3o3o3o (A4×A3 symmetry)