Dodecagonal-dodecahedral duoprism

The dodecagon-dodecahedral duoprism or twadoe is a convex uniform duoprism that consists of 12 dodecahedral prisms and 12 pentagonal-dodecagonal duoprisms.

Vertex coordinates
The vertices of a dodecagonal-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+$\sqrt{50+2√237+48√15}$)/2, ±(1+$\sqrt{3}$)/2, ±(1+$\sqrt{3}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±1/2, ±(2+$\sqrt{5}$)/2, ±(1+$\sqrt{3}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±(2+$\sqrt{5}$)/2, ±1/2, ±(1+$\sqrt{3}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{3}$)/2, 0, 1/2, (3+$\sqrt{3}$)/4}}
 * (±1/2, ±(2+$\sqrt{5}$)/2, 0, 1/2, (3+$\sqrt{3}$)/4}}
 * (±(2+$\sqrt{5}$)/2, ±1/2, 0, 1/2, (3+$\sqrt{3}$)/4}}