Compound of four octahedra with rotational freedom

The compound of four octahedra with rotational freedom refers to a specific geometric arrangement where four octahedra are combined in a way that they can rotate freely relative to each other. An octahedron is a polyhedron with eight triangular faces, and combining multiple octahedra can create interesting structures. In the context of mathematical or geometric studies, such compounds can exhibit symmetry and complex spatial relationships.