Dodecagonal-dodecagrammic duoprism

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

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

Representations
A dodecagonal-dodecagrammic duoprism has the following Coxeter diagrams:
 * x12o x12/5o (full symmetry)
 * x6x x12/5o (G2×I2(12) symmetry, dodecagons as dihexagons)