Decagonal-truncated octahedral duoprism

The decagonal-truncated octahedral duoprism or datoe is a convex uniform duoprism that consists of 10 truncated octahedral prisms, 8 hexagonal-decagonal duoprisms and 6 square-decagonal duoprisms.

This polychoron can be alternated into a pentagonal-pyritohedral icosahedral duoantiprism, although it cannot be made uniform.

Vertex coordinates
The vertices of a decagonal-truncated octahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, ±(1+$\sqrt{16+2√5}$)/2, 0, $\sqrt{5}$, $\sqrt{2}$)
 * (±$\sqrt{2}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, $\sqrt{5}$, $\sqrt{2}$)
 * (±$\sqrt{2}$/2, ±1/2, 0, $\sqrt{5+2√5}$, $\sqrt{2}$)