Pentagonal-small rhombicuboctahedral duoprism

The pentagonal-small rhombicuboctahedral duoprism or pesirco is a convex uniform duoprism that consists of 5 small rhombicuboctahedral prisms, 18 square-pentagonal duoprisms of two kinds and 8 triangular-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-small rhombicuboctahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, $\sqrt{175+10√55+10√10}$/10, ±1/2, ±1/2, ±(1+$\sqrt{50+10√5}$)/2)
 * (±(1+$\sqrt{2}$)/4, $\sqrt{5}$/20, ±1/2, ±1/2, ±(1+$\sqrt{50–10√5}$)/2)
 * (±1/2, –$\sqrt{2}$/10, ±1/2, ±1/2, ±(1+$\sqrt{25+10√5}$)/2)