Welcome to the community hub built on top of the Compound of twenty octahedra with rotational freedom Wikipedia article.
Here, you can discuss, collect, and organize anything related to Compound of twenty octahedra with rotational freedom. The
purpose of the hub is to connect people, foster deeper knowledge, and help improve
the root Wikipedia article.
The compound of twenty octahedra with rotational freedom is a uniform polyhedron compound. It's composed of a symmetric arrangement of 20 octahedra, considered as triangular antiprisms. It can be constructed by superimposing two copies of the compound of 10 octahedra UC16, and for each resulting pair of octahedra, rotating each octahedron in the pair by an equal and opposite angle θ.
When θ is zero or 60 degrees, the octahedra coincide in pairs yielding (two superimposed copies of) the compounds of ten octahedra UC16 and UC15 respectively. When
octahedra (from distinct rotational axes) coincide in sets four, yielding the compound of five octahedra. When