Octagonal-dodecahedral duoprism

The octagonal-dodecahedral duoprism or odoe is a convex uniform duoprism that consists of 8 dodecahedral prisms and 12 pentagonal-octagonal duoprisms.

Vertex coordinates
The vertices of an octagonal-dodecahedral duoprism of edge length 1 are given by: as well as all even permutations and all sign changes of the last three coordinates of:
 * (±1/2, ±(1+$\sqrt{34+6√5}$)/2, ±(1+$\sqrt{2}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/2, ±1/2, ±(1+$\sqrt{2}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±1/2, ±(1+$\sqrt{5}$)/2, 0, 1/2, (3+$\sqrt{2}$)/4}}
 * (±(1+$\sqrt{5}$)/2, ±1/2, 0, 1/2, (3+$\sqrt{2}$)/4}}