Decagonal-cuboctahedral duoprism

The decagonal-cuboctahedral duoprism or daco is a convex uniform duoprism that consists of 10 cuboctahedral prisms, 6 square-decagonal duoprisms and 8 triangular-decagonal duoprisms.

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