Triangular-dodecagonal duoprism

The triangular-dodecagonal duoprism or titwadip, also known as the 3-12 duoprism, is a uniform duoprism that consists of 3 dodecagonal prisms, 12 triangular prisms and 36 vertices.

Vertex coordinates
The vertices of a triangular-dodecagonal duoprism of edge length 1, centered at the origin, are given by:
 * (0, $\sqrt{2}$/3, ±(1+$\sqrt{6}$)/2, ±(1+$\sqrt{2}$)/2)
 * (±1/2, -$\sqrt{(7+3√3)/3}$/6, ±(1+$\sqrt{3}$)/2, ±(1+$\sqrt{3}$)/2)
 * (0, $\sqrt{3}$/3, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (±1/2, -$\sqrt{3}$/6, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (0, $\sqrt{3}$/3, ±(2+$\sqrt{3}$)/2, ±1/2)
 * (±1/2, -$\sqrt{3}$/6, ±1/2, ±(2+$\sqrt{3}$)/2, ±1/2)