Triangular duoexpandoprism

The triangular duoexpandoprism is a convex isogonal polychoron and the first member of the duoexpandoprisms that consists of 12 triangular prisms of two kinds, 9 cuboids, 18 wedges and 9 tetragonal disphenoids obtained as the convex hull of two orthogonal triangular-hexagonal duoprisms. However, it cannot be made uniform.

Vertex coordinates
The vertices of a triangular duoexpandoprism, constructed as the convex hull of two orthogonal 3-6 duoprisms of edge length 1, centered at the origin, are given by:
 * (0, $\sqrt{3}$/3, 0, ±1),
 * (0, $\sqrt{3}$/3, ±$\sqrt{3}$/2, ±1/2),
 * (±1/2, -$\sqrt{3}$/6, 0, 1),
 * (±1/2, -$\sqrt{3}$/6, ±$\sqrt{3}$/2, ±1/2),
 * (0, ±1, 0, $\sqrt{3}$/3),
 * (0, ±1, ±1/2, -$\sqrt{3}$/6),
 * (±$\sqrt{3}$/2, ±1/2, 0, $\sqrt{3}$/3),
 * (±$\sqrt{3}$/2, ±1/2, ±1/2, -$\sqrt{3}$/6).