Dodecagonal-great rhombicuboctahedral duoprism

The dodecagonal-great rhombicuboctahedral duoprism or twagirco is a convex uniform duoprism that consists of 12 great rhombicuboctahedral prisms, 6 octagonal-dodecagonal duoprisms, 8 hexagonal-dodecagonal duoprisms and 12 square-dodecagonal duoprisms.

This polychoron can be alternated into a hexagonal-snub cubic duoantiprism, although it cannot be made uniform. The dodecagons can also be edge-snubbed to create a snub cubic-hexagonal prismantiprismoid or the great rhombicuboctahedra to create a hexagonal-pyritohedral prismantiprismoid, which are also both nonuniform.

Vertex coordinates
The vertices of a dodecagonal-great rhombicuboctahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±(1+$\sqrt{21+2√30+12√6}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±(1+$\sqrt{3}$)/2, ±(1+2$\sqrt{2}$)/2)
 * (±1/2, ±(2+$\sqrt{2}$)/2, ±1/2, ±(1+$\sqrt{3}$)/2, ±(1+2$\sqrt{2}$)/2)
 * (±(2+$\sqrt{2}$)/2, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/2, ±(1+2$\sqrt{2}$)/2)