Octagonal-square antiprismatic duoprism

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

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