Snub icosicosahedron

The snub icosicosahedron, sne, or compound of five icosahedra is a uniform polyhedron compound. It consists of 100 triangles (20 pairs of which form hexagrams due to following in the same plane), with five faces joining at a vertex.

Its quotient prismatic equivalent is the pyritohedral icosahedral pentachoroorthowedge, which is seven-dimensional.

Vertex coordinates
The vertices of a snub icosicosahedron of edge length 1 can be given by all even permutations of:
 * (0, ±1/2, ±(1+$\sqrt{(5+√5)/8}$)/4)
 * (±($\sqrt{3}$–1)/8, ±1/4, ±(5+$\sqrt{15}$)/8)
 * (±(1+$\sqrt{5}$)/8, ±(3+$\sqrt{5}$)/8, ±$\sqrt{5}$/4)