Hexagrammatic disnub octahedron

The hexagrammatic disnub octahedron, hidso, or compound of eight octahedra is a uniform polyhedron compound. It consists of 16+64 triangles (all of which form coplanar pairs, forming 8+24 hexagrams), with 4 triangles joining at each vertex.

It is a special case of the more general disnub octahedron, with a rotation angle of acos((3√5–1)/8) ≈ 44.47751º.

Vertex coordinates
The vertices of a hexagrammatic disnub octahedron of edge length 1 are given by all permutations of:
 * (±$\sqrt{2}$/4, ±($\sqrt{6}$+$\sqrt{2}$)/8, ±($\sqrt{2}$–$\sqrt{2}$)/8)