Compound of cube and octahedron: Difference between revisions

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{{Short description|Polyhedral compound}}

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!bgcolor=#e7dcc3 colspan=2|First stellationCompound of cuboctahedroncube and octahedron

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|align=center colspan=2|[[File:Compound_of_cube_and_octahedron.png|230px]]

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|bgcolor=#e7dcc3|[[Symmetry group]]||[[Octahedral symmetry|octahedral]] (''O''_''h'')

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[[File:Bronze mace head from Galicia.jpg|thumb|Medieval [[Mace (bludgeon)|mace]] head]]

The '''compound of cube and octahedron''' is a [[polyhedron]] which can be seen as either a polyhedral [[stellation]] or a [[Polyhedron compound|compound]].

==Construction==

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It has [[octahedral symmetry]] ('''O'''_''h'') and shares the same vertices as a [[rhombic dodecahedron]].

This can be seen as the three-dimensional equivalent of the compound of two squares ({8/2} "[[octagram]]"); this series continues on to infinity, with the four-dimensional equivalent being the [[compound of tesseract and 16-cell]].

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