Great enneagrammic-dodecagonal duoprism

The great enneagrammic-dodecagonal duoprism, also known as the 9/4-12 duoprism, is a uniform duoprism that consists of 12 great enneagrammic prisms and 9 dodecagonal prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a great enneagrammic-dodecagonal duoprism, centered at the origin and with edge length 2sin(4π/9), are given by: where j = 2, 4, 8.
 * $$\left(1,\,0,\,±\left(1+\sqrt3\right)\sin\frac{4\pi}{9},\,±\left(1+\sqrt3\right)\sin\frac{4\pi}{9}\right),$$
 * $$\left(1,\,0,\,±\sin\frac{4\pi}{9},\,±\left(2+\sqrt3\right)\sin\frac{4\pi}{9}\right),$$
 * $$\left(1,\,0,\,±\left(2+\sqrt3\right)\sin\frac{4\pi}{9},\,±\sin\frac{4\pi}{9}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{9}\right),\,±\sin\left(\frac{j\pi}{9}\right),\,±\left(1+\sqrt3\right)\sin\frac{4\pi}{9},\,±\left(1+\sqrt3\right)\sin\frac{4\pi}{9}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{9}\right),\,±\sin\left(\frac{j\pi}{9}\right),\,±\sin\frac{4\pi}{9},\,±\left(2+\sqrt3\right)\sin\frac{4\pi}{9}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{9}\right),\,±\sin\left(\frac{j\pi}{9}\right),\,±\left(2+\sqrt3\right)\sin\frac{4\pi}{9},\,±\sin\frac{4\pi}{9}\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}{2},\,±\left(1+\sqrt3\right)\sin\frac{4\pi}{9},\,±\left(1+\sqrt3\right)\sin\frac{4\pi}{9}\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}{2},\,±\sin\frac{4\pi}{9},\,±\left(2+\sqrt3\right)\sin\frac{4\pi}{9}\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}{2},\,±\left(2+\sqrt3\right)\sin\frac{4\pi}{9},\,±\sin\frac{4\pi}{9}\right),$$

Representations
A great enneagrammic-dodecagonal duoprism has the following Coxeter diagrams:
 * x9/4o x12o (full symmetry)
 * x6x x9/4o (G2×I2(9) symmetry, dodecagons as dihexagons)