Editing Cuboctahedron (section)

=== Symmetry and classification ===
[[File:Cuboctahedron.stl|thumb|3D model of a cuboctahedron]]
The cuboctahedron is an [[Archimedean solid]], meaning it is a highly symmetric and semi-regular polyhedron, and two or more different regular polygonal faces meet in a vertex.{{sfn|Diudea|2018|p=[https://books.google.com/books?id=p_06DwAAQBAJ&pg=PA39 39]}} The cuboctahedron has two symmetries, resulting from the constructions as has mentioned above: the same symmetry as the regular octahedron or cube, the [[octahedral symmetry]] <math> \mathrm{O}_\mathrm{h} </math>, and the same symmetry as the regular tetrahedron, [[tetrahedral symmetry]] <math> \mathrm{T}_\mathrm{d} </math>.<ref>{{multiref
|{{harvp|Koca|Koca|2013|p=[https://books.google.com/books?id=ILnBkuSxXGEC&pg=PA48 48]}}
|{{harvp|Cromwell|1997}}. For octahedral symmetry, see [https://archive.org/details/polyhedra0000crom/page/378/mode/1up p. 378], Figure 10.13. For tetrahedral symmetry, see [https://archive.org/details/polyhedra0000crom/page/380/mode/1up p. 380], Figure 10.15.
}}</ref> The polygonal faces that meet for every vertex are two equilateral triangles and two squares, and the [[vertex figure]] of a cuboctahedron is 3.4.3.4. The dual of a cuboctahedron is [[rhombic dodecahedron]].{{sfn|Williams|1979|p=[https://archive.org/details/geometricalfound00will/page/74/mode/1up?view=theater 74]}}