Rhombisnub icosahedron

The rhombisnub icosahedron, rosi, or compound of ten hexagonal prisms is a uniform polyhedron compound. It consists of 60 squares and 20 hexagons, with one hexagon and two squares joining at a vertex.

Its quotient prismatic equivalent is the ditrigonal trapezoprismatic decayottoorthowedge, which is twelve-dimensional.

Vertex coordinates
The vertices of a rhombisnub icosahedron of edge length 1 are given by all even permutations of:
 * (±1/2, ±(3+$\sqrt{3}$+3$\sqrt{2}$–$\sqrt{2}$)/12, ±(–3+$\sqrt{5}$+3$\sqrt{3}$+$\sqrt{3}$)/12)
 * (±1, ±($\sqrt{5}$–$\sqrt{15}$)/12, ±($\sqrt{3}$+$\sqrt{5}$)/12)
 * (±(3+$\sqrt{15}$)/6, ±(3–2$\sqrt{15}$+3$\sqrt{3}$)/12, ±(–3+2$\sqrt{3}$+3$\sqrt{15}$)/12)
 * (±(3+$\sqrt{3}$–3$\sqrt{3}$+$\sqrt{5}$)/12, ±1/2, ±(3–$\sqrt{3}$+3$\sqrt{5}$+$\sqrt{3}$)/12)
 * (±(–3–2$\sqrt{5}$+3$\sqrt{15}$)/12, ±(3–$\sqrt{3}$)/6, ±(3+2$\sqrt{5}$+3)/12)