Hexagonal-truncated cubic duoprism

The hexagonal-truncated cubic duoprism or hatic is a convex uniform duoprism that consists of 6 truncated cubic prisms, 6 hexagonal-octagonal duoprisms and 8 triangular-hexagonal duoprisms.

Vertex coordinates
The vertices of a hexagonal-truncated cubic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, ±1, 1/2, (1+$\sqrt{11+4√2}$)/2, (1+$\sqrt{2}$)/2)
 * (±$\sqrt{2}$/2, ±1/2, 1/2, (1+$\sqrt{3}$)/2, (1+$\sqrt{2}$)/2)