Triangular-square antiprismatic duoprism

The triangular-square antiprismatic duoprism or trasquap is a convex uniform duoprism that consists of 3 square antiprismatic prisms, 2 triangular-square duoprisms and 8 triangular duoprisms.

Vertex coordinates
The vertices of a triangular-square antiprismatic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, $\sqrt{120+18√2}$/3, ±1/2, ±1/2, $\sqrt{3}$/4)
 * (0, $\sqrt{2√2}$/3, 0, ±$\sqrt{3}$/2, –$\sqrt{2}$/4)
 * (0, $\sqrt{2√2}$/3, ±$\sqrt{3}$/2, 0, –$\sqrt{2}$/4)
 * (±1/2, -$\sqrt{2√2}$/6, ±1/2, ±1/2, $\sqrt{3}$/4)
 * (±1/2, -$\sqrt{2√2}$/6, 0, ±$\sqrt{3}$/2, –$\sqrt{2}$/4)
 * (±1/2, -$\sqrt{2√2}$/6, ±$\sqrt{3}$/2, 0, –$\sqrt{2}$/4)