Octagonal-dodecagrammic duoprism

The octagonal-dodecagrammic duoprism, also known as the 8-12/5 duoprism, is a uniform duoprism that consists of 12 octagonal prisms and 8 dodecagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a octagonal-dodecagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,±\frac{\sqrt3-1}2,\,±\frac{\sqrt3-1}2\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac{2-\sqrt3}2\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,±\frac{2-\sqrt3}2,\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac{\sqrt3-1}2,\,±\frac{\sqrt3-1}2\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac12,\,±\frac{2-\sqrt3}2\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,±\frac{2-\sqrt3}2,\,±\frac12\right).$$

Representations
An octagonal-dodecagrammic duoprism has the following Coxeter diagrams:
 * x8o x12/5o (full symmetry)
 * x4x x12/5o (BC2×I2(12) symmetry, octagons as ditetragons)