Triangular-octahedral duoprism

The triangular-octahedral duoprism or troct is a convex uniform duoprism that consists of 3 octahedral prisms and 8 triangular duoprisms.

Vertex coordinates
The vertices of a triangular-octahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, $\sqrt{30}$/3, 0, 0, $\sqrt{3}$/2)
 * (±1/2, -$\sqrt{2}$/6, 0, 0, $\sqrt{3}$/2)