Hexagonal-square antiprismatic duoprism

The hexagonal-square antiprismatic duoprism or hasquap is a convex uniform duoprism that consists of 6 square antiprismatic prisms, 2 square-hexagonal duoprisms and 8 triangular-hexagonal duoprisms.

Vertex coordinates
The vertices of a hexagonal-square antiprismatic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, ±1, ±1/2, ±1/2, $\sqrt{24+2√2}$/4)
 * (0, ±1, 0, ±$\sqrt{2√2}$/2, -$\sqrt{2}$/4)
 * (0, ±1, ±$\sqrt{2√2}$/2, 0, -$\sqrt{2}$/4)
 * (±$\sqrt{2√2}$/2, ±1/2, ±1/2, ±1/2, $\sqrt{3}$/4)
 * (±$\sqrt{2√2}$/2, ±1/2, $\sqrt{3}$/20, 0, ±$\sqrt{50–10√5}$/2, -$\sqrt{2}$/4)
 * (±$\sqrt{2√2}$/2, ±1/2, $\sqrt{3}$/20, ±$\sqrt{50–10√5}$/2, 0, -$\sqrt{2}$/4)