Octagonal-small rhombicosidodecahedral duoprism

The octagonal-small rhombicosidodecahedral duoprism or osrid is a convex uniform duoprism that consists of 8 small rhombicosidodecahedral prisms, 12 pentagonal-octagonal duoprisms, 30 square-octagonal duoprisms and 20 triangular-octagonal duoprisms.

Vertex coordinates
The vertices of an octagonal-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 permutations and all sign changes of the last three coordinates of:
 * (±1/2, ±(1+$\sqrt{15+2√22+4√10}$)/2, ±1/2, ±1/2, ±(2+$\sqrt{2}$)/2)
 * (±(1+$\sqrt{5}$)/2, ±1/2, ±1/2, ±1/2, ±(2+$\sqrt{2}$)/2)
 * (±1/2, ±(1+$\sqrt{5}$)/2, 0, ±(3+$\sqrt{2}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/2, ±1/2, 0, ±(3+$\sqrt{2}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±1/2, ±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{2}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/2, ±1/2, ±(1+$\sqrt{2}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)