Partially-biexpanded hexateron

The partially-biexpanded hexateron or pabex hix, also known as the triangular-hexagonal duoprismatic cupoliprism or thiddipcup, is a convex scaliform polyteron and member of the duoprismatic cupoliprism family. It consists of 2 triangular-hexagonal duoprisms, 6 triangular cupolic prisms, and 6 triangular cupofastegiums. Each vertex joins 1 triangular-hexagonal duoprism, 3 triangular cupolic prisms, and 2 triangular cupofastegiums.

This polyteron also occurs as two duoprismatic Stott expansions of the hexateron.

Vertex coordinates
The vertices of a partially-biexpanded hexateron of edge length 1 are given by:
 * $$\left(0,\,\frac{\sqrt3}{3},\,±1,\,0,\,\frac{\sqrt3}{6}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac12,\,±\frac{\sqrt3}{2},\,\frac{\sqrt3}{6}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±1,\,0,\,\frac{\sqrt3}{6}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac12,\,±\frac{\sqrt3}{2},\,\frac{\sqrt3}{6}\right),$$
 * $$\left(±1,\,0,\,0,\,\frac{\sqrt3}{3},\,-\frac{\sqrt3}{6}\right),$$
 * $$\left(±1,\,0,\,±\frac12,\,-\frac{\sqrt3}{6},\,-\frac{\sqrt3}{6}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,0,\,\frac{\sqrt3}{3},\,-\frac{\sqrt3}{6}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,±\frac12,\,-\frac{\sqrt3}{6},\,-\frac{\sqrt3}{6}\right).$$