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:
 * $$\left(0,\,\pm\frac12,\,\pm\frac{1+\sqrt5}{4}\right),$$
 * $$\left(\pm\frac{\sqrt5-1}{8},\,\pm\frac14,\,\pm\frac{5+\sqrt5}{8}\right),$$
 * $$\left(\pm\frac{1+\sqrt5}{8},\,\pm\frac{3+\sqrt5}{8},\,\pm\frac{\sqrt5}{4}\right).$$