Heptagonal-octagrammic duoprism

The heptagonal-octagrammic duoprism, also known as hestodip or the 7-8/3 duoprism, is a uniform duoprism that consists of 8 heptagonal prisms and 7 octagrammic prisms, with 2 of each at each vertex.

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