Heptagrammic-dodecagonal duoprism

The heptagrammic-dodecagonal duoprism, also known as the 7/2-12 duoprism, is a uniform duoprism that consists of 12 heptagrammic prisms and 7 dodecagonal prisms, with 2 of each at each vertex.

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

Vertex coordinates
The coordinates of a heptagrammic-dodecagonal duoprism, centered at the origin and with edge length 2sin(2π/7), are given by: where j = 2, 4, 6.
 * $$\left(1,\,0,\,±\left(1+\sqrt3\right)\sin\frac{2\pi}{7},\,±\left(1+\sqrt3\right)\sin\frac{2\pi}{7}\right),$$
 * $$\left(1,\,0,\,±\sin\frac{2\pi}{7},\,±\left(2+\sqrt3\right)\sin\frac{2\pi}{7}\right),$$
 * $$\left(1,\,0,\,±\left(2+\sqrt3\right)\sin\frac{2\pi}{7},\,±\sin\frac{2\pi}{7}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{7}\right),\,±\sin\left(\frac{j\pi}{7}\right),\,±\left(1+\sqrt3\right)\sin\frac{2\pi}{7},\,±\left(1+\sqrt3\right)\sin\frac{2\pi}{7}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{7}\right),\,±\sin\left(\frac{j\pi}{7}\right),\,±\sin\frac{2\pi}{7},\,±\left(2+\sqrt3\right)\sin\frac{2\pi}{7}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{7}\right),\,±\sin\left(\frac{j\pi}{7}\right),\,±\left(2+\sqrt3\right)\sin\frac{2\pi}{7},\,±\sin\frac{2\pi}{7}\right),$$

Representations
A heptagrammic-dodecagonal duoprism has the following Coxeter diagrams:
 * x7/2o x12o (full symmetry)
 * x6x x7/2o (G2×I2(7) symmetry, dodecagons as dihexagons)