Hexagonal trioprism

The hexagonal duoprism or hittip is a convex uniform trioprism that consists of 18 hexagonal duoprismatic prisms.

Vertex coordinates
The vertices of a hexagonal trioprism of edge length 1 are given by:
 * (0, ±1, 0, ±1, 0, ±1),
 * (0, ±1, 0, ±1, ±$\sqrt{3}$/2, ±1/2),
 * (0, ±1, ±$\sqrt{3}$/2, ±1/2, 0, ±1),
 * (0, ±1, ±$\sqrt{3}$/2, ±1/2, ±$\sqrt{3}$/2, ±1/2),
 * (±$\sqrt{3}$/2, ±1/2, 0, ±1, 0, ±1),
 * (±$\sqrt{3}$/2, ±1/2, 0, ±1, ±$\sqrt{3}$/2, ±1/2),
 * (±$\sqrt{3}$/2, ±1/2, ±$\sqrt{3}$/2, ±1/2, 0, ±1),
 * (±$\sqrt{3}$/2, ±1/2, ±$\sqrt{3}$/2, ±1/2, ±$\sqrt{3}$/2, ±1/2).