Pentagonal-small rhombicosidodecahedral duoprism

The pentagonal-small rhombicosidodecahedral duoprism or pesrid is a convex uniform duoprism that consists of 5 small rhombicosidodecahedral prisms, 12 pentagonal duoprisms, 30 square-pentagonal duoprisms and 20 triangular-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-small rhombicosidodecahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of: as well as all even permuations and all sign changes of the last three coordinates of:
 * (0, $\sqrt{325+110√5}$/10, ±1/2, ±1/2, ±(2+$\sqrt{50+10√5}$)/2)
 * (±(1+$\sqrt{5}$)/4, $\sqrt{5}$/20, ±1/2, ±1/2, ±(2+$\sqrt{50–10√5}$)/2)
 * (±1/2, –$\sqrt{5}$/10, ±1/2, ±1/2, ±(2+$\sqrt{25+10√5}$)/2)
 * (0, $\sqrt{5}$/10, 0, ±(3+$\sqrt{50+10√5}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/4, $\sqrt{5}$/20, 0, ±(3+$\sqrt{50–10√5}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±1/2, –$\sqrt{5}$/10, 0, ±(3+$\sqrt{25+10√5}$)/4, ±(5+$\sqrt{5}$)/4)
 * (0, $\sqrt{5}$/10, ±(1+$\sqrt{50+10√5}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/4, $\sqrt{5}$/20, ±(1+$\sqrt{50–10√5}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)
 * (±1/2, –$\sqrt{5}$/10, ±(1+$\sqrt{25+10√5}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)