Triangular-octagonal duoprism

The triangular-octagonal duoprism or todip, also known as the 3-8 duoprism, is a uniform duoprism that consists of 3 octagonal prisms, 8 triangular prisms, with 2 of each meeting at each vertex.

Vertex coordinates
Coordinates for the vertices of a 3-8 duoprism of edge length 1, centered at the origin, are given by:
 * (0, $\sqrt{3}$/3, ±1/2, ±(1+$\sqrt{2}$)/2),
 * (0, $\sqrt{3}$/3, ±(1+$\sqrt{2}$)/2, ±1/2),
 * (±1/2, -$\sqrt{3}$/6, ±1/2, ±(1+$\sqrt{2}$)/2),
 * (±1/2, -$\sqrt{3}$/6, ±(1+$\sqrt{2}$)/2, ±1/2).