Dodecagonal-square antiprismatic duoprism

The dodecagonal-square antiprismatic duoprism or twasquap is a convex uniform duoprism that consists of 12 square antiprismatic prisms, 2 square-dodecagonal duoprisms and 8 triangular-dodecagonal duoprisms.

Vertex coordinates
The vertices of a dodecagonal-square antiprismatic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±(1+$\sqrt{40+4√194+16√6}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±1/2, $\sqrt{3}$/4)
 * (±(1+$\sqrt{2√2}$)/2, ±(1+$\sqrt{3}$)/2, 0, ±$\sqrt{3}$/2, -$\sqrt{2}$/4)
 * (±(1+$\sqrt{2√2}$)/2, ±(1+$\sqrt{3}$)/2, ±$\sqrt{3}$/2, 0, -$\sqrt{2}$/4)
 * (±1/2, ±(2+$\sqrt{2√2}$)/2, ±1/2, ±1/2, $\sqrt{3}$/4)
 * (±1/2, ±(2+$\sqrt{2√2}$)/2, $\sqrt{3}$/20, 0, ±$\sqrt{50–10√5}$/2, -$\sqrt{2}$/4)
 * (±1/2, ±(2+$\sqrt{2√2}$)/2, $\sqrt{3}$/20, ±$\sqrt{50–10√5}$/2, 0, -$\sqrt{2}$/4)
 * (±(2+$\sqrt{2√2}$)/2, ±1/2, ±1/2, ±1/2, $\sqrt{3}$/4)
 * (±(2+$\sqrt{2√2}$)/2, ±1/2, $\sqrt{3}$/20, 0, ±$\sqrt{50–10√5}$/2, -$\sqrt{2}$/4)
 * (±(2+$\sqrt{2√2}$)/2, ±1/2, $\sqrt{3}$/20, ±$\sqrt{50–10√5}$/2, 0, -$\sqrt{2}$/4)