Snub octahedron

The snub octahedron, sno, or compound of four octahedra is a uniform polyhedron compound. It consists of 8+24 triangles, with 4 triangles joining at each vertex.

Each octahedral component has triangular antiprism symmetry. In fact this is a special case of the more general disnub tetrahedron.

Its quotient prismatic equivalent is the triangular antiprismatic tetrahedroorthowedge, which is six-dimensional.

Vertex coordinates
The vertices of a snub octahedron of edge length 1 are given by all permutations of:
 * $$\left(\pm\frac{\sqrt2}{3},\,\pm\frac{\sqrt2}{3},\,\pm\frac{\sqrt2}{6}\right).$$