Cuboctahedron
| Cuboctahedron | |
|---|---|
| Type | Archimedean solid |
| Faces | 14 |
| Edges | 24 |
| Vertices | 12 |
| Vertex configuration | 3.4.3.4 |
| Schläfli symbol | r{4,3} |
| Conway notation | aC |
| Coxeter diagram | |
| Symmetry group | Octahedral |
| Dihedral angle (degrees) | approximately 125° |
| Dual polyhedron | Rhombic dodecahedron |
| Properties | convex, vector equilibrium, Rupert property |
| Vertex figure | |
| Net | |
A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical 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. It is radially equilateral. Its dual polyhedron is the rhombic dodecahedron.