Square-dodecahedral duoprism

The square-dodecahedral duoprism or tradoe is a convex uniform duoprism that consists of 4 dodecahedral prisms and 12 square-pentagonal duoprisms

Vertex coordinates
The vertices of a square-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, ±1/2, ±(1+$\sqrt{26+6√5}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±1/2, ±1/2, 0, 1/2, (3+$\sqrt{5}$)/4}}