A **cuboctahedron** is a uniform three-dimensional polyhedron that can be constructed by rectifying a cube. It can also be created by rectifying an octahedron, or by cantellating a tetrahedron (when considered with this symmetry, it can be called a **rhombitetratetrahedron**).

As a rectified octahedron, it has the same symmetry group as the octahedron, namely octahedral symmetry (O_{h}).

The dual of the cuboctahedron is called a rhombic dodecahedron.

The Bowers acronym for the cuboctahedron is **co**.

## Structure and Sections

On each vertex of the cuboctahedron, two triangles and two squares join.

### Hypervolumes

### Subfacets

- 12 points (0D)
- 24 line segments (1D)
- 8 triangles (2D)
- 6 squares (2D)
- 1 cuboctahedron (3D)

## See Also

Regular | Rectified | Birectified | Truncated | Bitruncated | Cantellated | Cantitruncated |
---|---|---|---|---|---|---|

Cube | Cuboctahedron
| Octahedron | Truncated cube | Truncated octahedron | Rhombicuboctahedron | Great rhombicuboctahedron |

Regular | Rectified | Birectified | Truncated | Bitruncated | Cantellated | Cantitruncated |
---|---|---|---|---|---|---|

Tetrahedron | Octahedron | Tetrahedron | Truncated tetrahedron | Truncated tetrahedron | Cuboctahedron
| Truncated octahedron |

... | ||||||
---|---|---|---|---|---|---|

Square dihedron | Cuboctahedron
| Square tiling | Tetrapentagonal tiling | Tetrahexagonal tiling | ... | Tetrapeirogonal tiling |

... | ||||||||
---|---|---|---|---|---|---|---|---|

Trigonal dihedron | Octahedron | Cuboctahedron
| Icosidodecahedron | Trihexagonal tiling | Triheptagonal tiling | Trioctagonal tiling | ... | Triapeirogonal tiling |

... | ||||||||
---|---|---|---|---|---|---|---|---|

Triangular prism | Cuboctahedron
| Rhombicuboctahedron | Rhombicosidodecahedron | Rhombitrihexagonal tiling | Rhombitriheptagonal tiling | Rhombitrioctagonal tiling | ... | Rhombitriapeirogonal tiling |