Heptagonal-octahedral duoprism

The heptagonal-octahedral duoprism or heoct is a convex uniform duoprism that consists of 7 octahedral prisms and 8 triangular-heptagonal duoprisms.

Vertex coordinates
The vertices of a hexagonal-octahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, ±1, 0, 0, $\sqrt{2+csc^{2}π/7}$/2)
 * (±$\sqrt{2}$/2, ±1/2, 0, 0, $\sqrt{3}$/2)