Great heptagrammic-octagonal duoprism

The great heptagrammic-octagonal duoprism, also known as gishodip or the 7/3-8 duoprism, is a uniform duoprism that consists of 8 great heptagrammic prisms and 7 octagonal prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a great heptagrammic-octagonal duoprism, centered at the origin and with edge length 2sin(3π/7), are given by: where j = 2, 4, 6.
 * $$\left(1,\,0,\,±\sin\frac{3\pi}7,\,±\left(1+\sqrt2\right)\sin\frac{3\pi}7\right),$$
 * $$\left(1,\,0,\,±\left(1+\sqrt2\right)\sin\frac{3\pi}7,\,±\sin\frac{3\pi}7\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right),\,±\sin\frac{3\pi}7,\,±\left(1+\sqrt2\right)\sin\frac{3\pi}7\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right),\,±\left(1+\sqrt2\right)\sin\frac{3\pi}7,\,±\sin\frac{3\pi}7\right),$$

Representations
A great heptagrammic-octagonal duoprism has the following Coxeter diagrams:
 * x7/3o x8o (full symmetry)
 * x4x x7/3o (BC2×I2(7) symmetry, octagons as ditetragons)