Decagonal-square antiprismatic duoprism

The decagonal-square antiprismatic duoprism or dasquap is a convex uniform duoprism that consists of 10 square antiprismatic prisms, 2 square-decagonal duoprisms and 8 triangular-decagonal duoprisms.

Vertex coordinates
The vertices of a decagonal-square antiprismatic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, ±(1+$\sqrt{32+2√82+8√10}$)/2, ±1/2, ±1/2, $\sqrt{5}$/4)
 * (0, ±(1+$\sqrt{2√2}$)/2, 0, ±$\sqrt{5}$/2, -$\sqrt{2}$/4)
 * (0, ±(1+$\sqrt{2√2}$)/2, ±$\sqrt{5}$/2, 0, -$\sqrt{2}$/4)
 * (±$\sqrt{2√2}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±1/2, ±1/2, $\sqrt{5}$/4)
 * (±$\sqrt{2√2}$/4, ±(3+$\sqrt{10+2√5}$)/4, $\sqrt{5}$/20, 0, ±$\sqrt{50–10√5}$/2, -$\sqrt{2}$/4)
 * (±$\sqrt{2√2}$/4, ±(3+$\sqrt{10+2√5}$)/4, $\sqrt{5}$/20, ±$\sqrt{50–10√5}$/2, 0, -$\sqrt{2}$/4)
 * (±$\sqrt{2√2}$/2, ±1/2, ±1/2, ±1/2, $\sqrt{5+2√5}$/4)
 * (±$\sqrt{2√2}$/2, ±1/2, $\sqrt{5+2√5}$/20, 0, ±$\sqrt{50–10√5}$/2, -$\sqrt{2}$/4)
 * (±$\sqrt{2√2}$/2, ±1/2, $\sqrt{5+2√5}$/20, ±$\sqrt{50–10√5}$/2, 0, -$\sqrt{2}$/4)