Editing Cuboctahedron (section)

{{Short description|Polyhedron with 8 triangular faces and 6 square faces}}
{{infobox polyhedron
 | name = Cuboctahedron
 | image = File:Cuboctahedron.svg
 | type = [[Archimedean solid]]
 | faces = 14
 | edges = 24
 | vertices = 12
 | vertex_config = 3.4.3.4
 | coxeter = {{CDD|node|4|node_1|3|node}}
 | schläfli = r{4,3}
 | conway = [https://levskaya.github.io/polyhedronisme/?recipe=aC aC]
 | symmetry = [[Octahedral symmetry|Octahedral]] <math>\mathrm{O}_\mathrm{h}</math>
 | dual = [[Rhombic dodecahedron]]
 | angle = approximately 125°
 | properties = [[Convex set|convex]], <br> vector equilibrium, <br> [[Rupert property]]
 | vertex_figure = Polyhedron 6-8 vertfig.svg
 | net = Polyhedron 6-8 net.svg 
}}
A '''cuboctahedron''' is a [[polyhedron]] with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical [[vertex (geometry)|vertices]], with 2 triangles and 2 squares meeting at each, and 24 identical [[edge (geometry)|edges]], each separating a triangle from a square. As such, it is a [[quasiregular polyhedron]], i.e., an [[Archimedean solid]] that is not only [[vertex-transitive]] but also [[edge-transitive]].{{Sfn|Coxeter|1973|loc=§2.3 Quasi-regular polyhedra|pp=18-19}} It is [[Cuboctahedron#Radial equilateral symmetry|radially equilateral]]. Its [[dual polyhedron]] is the [[rhombic dodecahedron]].