Triangular-tetrahedral duoprism

The triangular-tetrahedral duoprism or tratet, is a convex uniform duoprism that consists of 3 tetrahedral prisms and 4 triangular duoprisms

Vertex coordinates
The vertices of a triangular-tetrahedral duoprism of edge length 1 are given by all even sign changes of the last three coordinates of:
 * (0, $\sqrt{102}$/3, $\sqrt{3}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±1/2, -$\sqrt{2}$/6, $\sqrt{3}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)