Triangular-dodecahedral duoprism

The triangular-dodecahedral duoprism or tradoe is a convex uniform duoprism that consists of 3 dodecahedral prisms and 12 triangular-pentagonal duoprisms

Vertex coordinates
The vertices of a triangular-dodecagonal 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, $\sqrt{210+54√5}$/3, ±(1+$\sqrt{3}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±1/2, -$\sqrt{5}$/6, ±(1+$\sqrt{3}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (0, $\sqrt{5}$/3, 0, 1/2, (3+$\sqrt{3}$)/4}}
 * (±1/2, -$\sqrt{5}$/6, 0, 1/2, (3+$\sqrt{3}$)/4}}