Decagonal-dodecahedral duoprism

The decagonal-dodecahedral duoprism or dadoe is a convex uniform duoprism that consists of 10 dodecahedral prisms and 12 pentagonal-decagonal duoprisms.

Vertex coordinates
The vertices of a decagonal-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:
 * (0, ±(1+$\sqrt{42+14√5}$)/2, ±(1+$\sqrt{5}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±(1+$\sqrt{5}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/2, ±1/2, ±(1+$\sqrt{5+2√5}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (0, ±(1+$\sqrt{5}$)/2, 0, 1/2, (3+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, 1/2, (3+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/2, ±1/2, 0, 1/2, (3+$\sqrt{5+2√5}$)/4)