Enneagrammic-dodecagonal duoprism

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

The name can also refer to the great enneagrammic-dodecagonal duoprism.

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

Representations
An enneagrammic-dodecagonal duoprism has the following Coxeter diagrams:
 * x9/2o x12o (full symmetry)
 * x6x x9/2o (G2×I2(9) symmetry, dodecagons as dihexagons)