Enneagonal-cubic duoprism

The enneagonal-cubic duoprism or ecube, also known as a square-enneagonal duoprismatic prism, is a convex uniform duoprism that consists of 9 tesseracts and 6 square-enneagonal duoprisms. Each vertex joins 2 tesseracts and 3 square-enneagonal duoprisms. It is a duoprism based on a square and an enneagonal prism, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of an enneagonal-cubic duoprism of edge length 2sin(π/9) are given by: where j = 2, 4, 8.
 * $$\left(1,\,0,\,±\sin\frac\pi9,\,±\sin\frac\pi9,\,±\sin\frac\pi9\right),$$
 * $$\left(\cos\left(\frac{j\pi}{9}\right),\,±\sin\left(\frac{j\pi}{9}\right),\,±\sin\frac\pi9,\,±\sin\frac\pi9,\,±\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}{2},\,±\sin\frac\pi9,\,±\sin\frac\pi9,\,±\sin\frac\pi9\right),$$

Representations
A triangular-cubic duoprism has the following Coxeter diagrams:
 * x9o x4o3o (full symmetry)
 * x x4o x9o (square-enneagonal duoprismatic prism)
 * x x x x9o (enneagonal prismatic prismatic prism)