Dodecagonal-tetrahedral duoprism

The dodecagonal-tetrahedral duoprism or twatet is a convex uniform duoprism that consists of 12 tetrahedral prisms and 4 triangular-dodecagonal duoprisms.

Vertex coordinates
The vertices of a dodecagonal-tetrahedral duoprism of edge length 1 are given by all even sign changes of the last three coordinates of:
 * (±(1+$\sqrt{38+16√3}$)/2, ±(1+$\sqrt{3}$)/2, $\sqrt{3}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±1/2, ±(2+$\sqrt{2}$)/2, $\sqrt{3}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±(2+$\sqrt{2}$)/2, ±1/2, $\sqrt{3}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4)