Octagonal-truncated tetrahedral duoprism

The octagonal-truncated tetrahedral duoprism or hetut is a convex uniform duoprism that consists of 8 truncated tetrahedral prisms, 4 hexagonal-octagonal duoprisms and 4 triangular-octagonal duoprisms.

Vertex coordinates
The vertices of an octagonal-truncated tetrahedral duoprism of edge length 1 are given by all permutations and even sign changes of the last three coordinates of:
 * (±1/2, ±(1+$\sqrt{38+8√2}$)/2, $\sqrt{2}$/4, $\sqrt{2}$/4, 3$\sqrt{2}$/4)
 * (±(1+$\sqrt{2}$)/2, ±1/2, $\sqrt{2}$/4, $\sqrt{2}$/4, 3$\sqrt{2}$/4)