Heptagonal-dodecagonal duoprism

The heptagonal-dodecagonal duoprism or hetwadip, also known as the 7-12 duoprism, is a uniform duoprism that consists of 7 dodecagonal prisms and 12 heptagonal prisms, with two of each joining at each vertex.

Vertex coordinates
The coordinates of a heptagonal-dodecagonal duoprism, centered at the origin and with edge length 2sin(π/7), are given by: where j = 2, 4, 6.
 * $$\left(1,0,±\left(1+\sqrt3\right)\sin\frac\pi7,±\left(1+\sqrt3\right)\sin\frac\pi7\right),$$
 * $$\left(1,0,±\sin\frac\pi7,±\left(2+\sqrt3\right)\sin\frac\pi7\right),$$
 * $$\left(1,0,±\left(2+\sqrt3\right)\sin\frac\pi7,±\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),±\sin\left(\frac{j\pi}7\right),±\left(1+\sqrt3\right)\sin\frac\pi7,±\left(1+\sqrt3\right)\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),±\sin\left(\frac{j\pi}7\right),±\sin\frac\pi7,±\left(2+\sqrt3\right)\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),±\sin\left(\frac{j\pi}7\right),±\left(2+\sqrt3\right)\sin\frac\pi7,±\sin\frac\pi7\right),$$

Representations
A heptagonal-dodecagonal duoprism has the following Coxeter diagrams:
 * x7o x12o (full symmetry)
 * x6x x7o (dodecagons as dihexagons)