Triangular-octagonal duoprism

The 3-8 duoprism or todip is a uniform duoprism that consists of 3 octagonal prisms, 8 triangular prisms and 24 vertices.

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).