Hexagonal-heptagrammic duoprism

The hexagonal-heptagrammic duoprism, also known as the 6-7/2 duoprism, is a uniform duoprism that consists of 7 hexagonal prisms and 6 heptagrammic prisms, with 2 of each at each vertex.

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

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

Representations
A hexagonal-heptagrammic duoprism has the following Coxeter diagrams:
 * x6o x7/2o (full symmetry)
 * x3x x7/2o (A2×I2(7) symmetry, hexagons as ditrigons)