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- Compound_of_four_octahedra_with_rotational_freedom abstract "This uniform polyhedron compound is a symmetric arrangement of 4 octahedra, considered as triangular antiprisms. It can be constructed by superimposing four identical octahedra, and then rotating each by an equal angle θ about a separate axis passing through the centres of two opposite octahedral faces, in such a way as to preserve pyritohedral symmetry.Superimposing this compound with a second copy, in which the octahedra have been rotated by the same angle θ in the opposite direction, yields the compound of eight octahedra with rotational freedom.When θ=0, all four octahedra coincide. When θ is 60 degrees, the more symmetric compound of four octahedra (without rotational freedom) arises. In another notable case (pictured), for a certain intermediate value of θ in which 24 of the triangles form coplanar pairs, the compound assumes the form of the compound of five octahedra with one of the octahedra removed.".
- Compound_of_four_octahedra_with_rotational_freedom thumbnail UC10-4_octahedra.png?width=300.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageID "14894345".
- Compound_of_four_octahedra_with_rotational_freedom wikiPageLength "2003".
- Compound_of_four_octahedra_with_rotational_freedom wikiPageOutDegree "16".
- Compound_of_four_octahedra_with_rotational_freedom wikiPageRevisionID "575382298".
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Antiprism.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Category:Polyhedral_compounds.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Compound_of_eight_octahedra_with_rotational_freedom.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Compound_of_five_octahedra.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Compound_of_four_octahedra.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Cyclic_symmetry_in_three_dimensions.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Octahedron.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Subgroup.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Symmetry_group.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Tetrahedral_symmetry.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Triangle.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink Uniform_polyhedron_compound.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLink File:UC10-4_octahedra.png.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageWikiLinkText "Compound of four octahedra with rotational freedom".
- Compound_of_four_octahedra_with_rotational_freedom wikiPageUsesTemplate Template:Citation.
- Compound_of_four_octahedra_with_rotational_freedom wikiPageUsesTemplate Template:Polyhedron-stub.
- Compound_of_four_octahedra_with_rotational_freedom subject Category:Polyhedral_compounds.
- Compound_of_four_octahedra_with_rotational_freedom hypernym Arrangement.
- Compound_of_four_octahedra_with_rotational_freedom type MusicalWork.
- Compound_of_four_octahedra_with_rotational_freedom comment "This uniform polyhedron compound is a symmetric arrangement of 4 octahedra, considered as triangular antiprisms.".
- Compound_of_four_octahedra_with_rotational_freedom label "Compound of four octahedra with rotational freedom".
- Compound_of_four_octahedra_with_rotational_freedom sameAs Q5156872.
- Compound_of_four_octahedra_with_rotational_freedom sameAs Kombinaĵo_de_4_okedroj_kun_turna_libereco.
- Compound_of_four_octahedra_with_rotational_freedom sameAs m.03h0rq0.
- Compound_of_four_octahedra_with_rotational_freedom sameAs Sestav_štirih_oktaedrov_z_vrtilno_svobodo.
- Compound_of_four_octahedra_with_rotational_freedom sameAs Q5156872.
- Compound_of_four_octahedra_with_rotational_freedom wasDerivedFrom Compound_of_four_octahedra_with_rotational_freedom?oldid=575382298.
- Compound_of_four_octahedra_with_rotational_freedom depiction UC10-4_octahedra.png.
- Compound_of_four_octahedra_with_rotational_freedom isPrimaryTopicOf Compound_of_four_octahedra_with_rotational_freedom.