Rhombisnub rhombicosicosahedron

The rhombisnub rhombicosicosahedron, rasseri, or compound of five small rhombicuboctahedra  is a uniform polyhedron compound. It consists of 40 triangles (which form coplanar pairs combining into 20 hexagrams) and 30+60 squares, with one triangle and three squares joining at each vertex. It can be seen as the cantellation of the rhombihedron.

Vertex coordinates
The vertices of a rhombisnub rhombicosicosahedron of edge length 1 can be given by all even permutations of:
 * (±(1+$\sqrt{2}$)/2, ±1/2, ±1/2)
 * (±($\sqrt{2}$–$\sqrt{2}$)/8, (±(2+$\sqrt{5+2√2}$+2$\sqrt{2}$+$\sqrt{6}$)/8, ±(1+$\sqrt{2}$–$\sqrt{10}$)/4)
 * (±(2+$\sqrt{2}$)/4, ±(4+$\sqrt{2}$+$\sqrt{5}$)/8, ±(4+$\sqrt{10}$–$\sqrt{2}$)/8)
 * (±$\sqrt{5}$/4, ±(–2+$\sqrt{2}$+2$\sqrt{2}$+$\sqrt{10}$)/8, ±(2–$\sqrt{2}$+$\sqrt{10}$+$\sqrt{2}$)/8)
 * (±($\sqrt{2}$+$\sqrt{5}$)/8, ±(–2–$\sqrt{10}$+2$\sqrt{2}$+$\sqrt{5}$)/8, ±(1+$\sqrt{10}$+$\sqrt{2}$)/4)