# Compound of two cuboctahedra

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Compound of two cuboctahedra | |
---|---|

Rank | 3 |

Type | Orbiform |

Elements | |

Components | 2 cuboctahedra |

Faces | 4 triangles (as 2 golden hexagrams), 12 triangles, 12 squares |

Edges | 12+12+24 |

Vertices | 12+12 |

Vertex figure | Rectangle, edge lengths 1 and √2 |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Dihedral angle | |

Central density | 2 |

Related polytopes | |

Dual | Compound of two rhombic dodecahedra |

Conjugate | None |

Convex hull | Hexagonal orthobicupola |

Convex core | Variant of orchid 13 |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | (G_{2}×A_{1})/2, order 12 |

Convex | No |

Nature | Tame |

The **compound of two cuboctahedra** is a polyhedron compound. It consists of 16 triangles (4 of which lie in the same two planes at the top and bottom of the shape, forming 2 golden hexagrams) and 12 squares. Two triangles (sometimes one triangle and one hexagram) and two squares join at each vertex.

## Related polytopes[edit | edit source]

The compound of two cuboctahedra is one of the facets of some uniform polychora of the sadros daskydox and gadros daskydox regiments.

It also has the same non-standard hexagram faces as the compound of two icosahedra and its conjugate, the compound of two great icosahedra. These are *not* to be mistaken for the hexagram faces of the small snub icosicosidodecahedron, though.

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