Triangular duoantiprism

The triangular duoantiprism, also known as the triangular-triangular duoantiprism, the 3 duoantiprism or the 3-3 duoantiprism, is a convex isogonal polychoron that consists of 12 triangular antiprisms and 18 tetragonal disphenoids obtained through the process of alternating the hexagonal duoprism. However, it cannot be made uniform.

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