Hexagonal-tetrahedral duoprism

The hexagonal-tetrahedral duoprism or hatet is a convex uniform duoprism that consists of 6 tetrahedral prisms and 4 triangular-hexagonal duoprisms.

Vertex coordinates
The vertices of a hexagonal-tetrahedral duoprism of edge length 1 are given by all even sign changes of the last three coordinates of:
 * (0, ±1, $\sqrt{22}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±$\sqrt{2}$/2, ±1/2, $\sqrt{3}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)