A compound of eight octahedra with rotational freedom refers to a geometric arrangement where eight octahedral shapes are combined in a way that allows for rotational movement around their connecting points or edges. In geometry, an octahedron is a polyhedron with eight triangular faces, 12 edges, and 6 vertices. When creating a compound of octahedra, they can be arranged to share vertices, edges, or face connections, resulting in a complex three-dimensional structure.
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