Square-hexateric duoprism

The square-hexateric duoprism or squahix is a convex uniform duoprism that consists of 4 hexateric prisms and 6 square-pentachoric duoprisms. Each vertex joins 2 hexateric prisms and 5 square-pentachoric duoprisms. It is a duoprism based on a square and a hexateron, and is thus also a convex segmentoexon, as a hexateric prism atop hexateric prism.

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

Representations
A square-hexateric duoprism has the following Coxeter diagrams:


 * x4o x3o3o3o3o (full symmetry)
 * x x x3o3o3o3o (square as rectangle, hexateric prismatic prism)