Dodecagonal-truncated cubic duoprism

The dodecagonal-truncated cubic duoprism or twatic is a convex uniform duoprism that consists of 12 truncated cubic prisms, 6 octagonal-dodecagonal duoprisms and 8 triangular-dodecagonal duoprisms.

Vertex coordinates
The vertices of a dodecagonal-truncated cubic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±(1+$\sqrt{15+4√5+2√6}$)/2, ±(1+$\sqrt{3}$)/2, 1/2, (1+$\sqrt{3}$)/2, (1+$\sqrt{2}$)/2)
 * (±1/2, ±(2+$\sqrt{2}$)/2, 1/2, (1+$\sqrt{3}$)/2, (1+$\sqrt{2}$)/2)
 * (±(2+$\sqrt{2}$)/2, ±1/2, 1/2, (1+$\sqrt{3}$)/2, (1+$\sqrt{2}$)/2)