Octagrammic-dodecagrammic duoprism

The octagrammic-dodecagrammic duoprism, also known as the 8/3-12/5 duoprism, is a uniform duoprism that consists of 12 octagrammic prisms and 8 dodecagrammic prisms, with 2 of each at each vertex.

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