Triangular-dodecagrammic duoprism

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

Vertex coordinates
The coordinates of a triangular-dodecagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{\sqrt3-1}2,\,±\frac{\sqrt3-1}2\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{2-\sqrt3}2,\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac12,\,±\frac{2-\sqrt3}2\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{\sqrt3-1}2,\,±\frac{\sqrt3-1}2\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{2-\sqrt3}2,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac12,\,±\frac{2-\sqrt3}2\right).$$