Triangular-truncated tetrahedral duoprism

The triangular-truncated tetrahedral duoprism or tratut is a convex uniform duoprism that consists of 3 truncated tetrahedral prisms, 4 triangular-hexagonal duoprisms and 4 triangular duoprisms.

Vertex coordinates
The vertices of a triangular-truncated tetrahedral duoprism of edge length 1 are given by all permutations and even sign changes of the last three coordinates of:
 * (0, $\sqrt{246}$/3, $\sqrt{3}$/4, $\sqrt{2}$/4, 3$\sqrt{2}$/4)
 * (±1/2, -$\sqrt{2}$/6, $\sqrt{3}$/4, $\sqrt{2}$/4, 3$\sqrt{2}$/4)