Hexagonal-great heptagrammic duoprism

The hexagonal-great heptagrammic duoprism, also known as hagishdip or the 6-7/3 duoprism, is a uniform duoprism that consists of 7 hexagonal prisms and 6 great heptagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a hexagonal-great heptagrammic duoprism, centered at the origin and with edge length 2sin(3π/7), are given by: where j = 2, 4, 6.
 * $$\left(±2\sin\frac{3\pi}7,\,0,\,1,\,0\right),$$
 * $$\left(±2\sin\frac{3\pi}7,\,0,\,\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right)\right),$$
 * $$\left(±\sin\frac{3\pi}7,\,±\sqrt3\sin\frac{3\pi}7,\,1,\,0\right),$$
 * $$\left(±\sin\frac{3\pi}7,\,±\sqrt3\sin\frac{3\pi}7,\,\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right)\right),$$

Representations
A hexagonal-great heptagrammic duoprism has the following Coxeter diagrams:
 * x6o x7/3o (full symmetry)
 * x3x x7/3o (A2×I2(7) symmetry, hexagons as ditrigons)