Heptagonal-octagonal duoprism

The heptagonal-octagonal duoprism or heodip, also known as the 7-8 duoprism, is a uniform duoprism that consists of 7 octagonal prisms and 8 heptagonal prisms, with two of each joining at each vertex.

Vertex coordinates
The coordinates of a heptagonal-octagonal duoprism, centered at the origin and with edge length 2sin(π/7), are given by: where j = 2, 4, 6.
 * $$\left(±\sin\frac\pi7,±(1+\sqrt2)\sin\frac\pi7,1,0\right),$$
 * $$\left(±\sin\frac\pi7,±(1+\sqrt2)\sin\frac\pi7,\cos\left(\frac{j\pi}7\right),±\sin\left(\frac{j\pi}7\right)\right),$$
 * $$\left(±(1+\sqrt2)\sin\frac\pi7,±\sin\frac\pi7,1,0\right),$$
 * $$\left(±(1+\sqrt2)\sin\frac\pi7,±\sin\frac\pi7,\cos\left(\frac{j\pi}7\right),±\sin\left(\frac{j\pi}7\right)\right),$$

Representations
A heptagonal-octagonal duoprism has the following Coxeter diagrams:
 * x7o x8o (full symmetry)
 * x4x x7o (octagons as ditetragons)