Triangular-square duoprism

The 3-4 duoprism is a uniform duoprism that consists of 3 square prisms, 4 triangular prisms and 12 vertices.

Vertex coordinates
The vertices of a 3-4 duoprism of edge length 1, centered at the origin, are given by:
 * (0, $\sqrt{3}$/3, ±1/2, ±1/2)
 * (±1/2, -$\sqrt{3}$/6, ±1/2, ±1/2)