# Bowtie cut cuboctahedron

The **bowtie cut cuboctahedron** (OBSA: **bocuco**) is a nonconvex orbiform polyhedron and an edge-faceting of the cuboctahedron. Its faces are 4 triangles, 4 squares, and 2 hexagons. It is the blend of the cuboctahedron and the elongated bowtie tegum.

Bowtie cut cuboctahedron | |
---|---|

Rank | 3 |

Type | Orbiform |

Notation | |

Bowers style acronym | Bocuco |

Elements | |

Faces | 4 triangles, 4 squares, 2 hexagons |

Edges | 4+8+8 |

Vertices | 2+2+8 |

Vertex figures | 2 bowties, edge lengths √2 and √3 |

2 rectangles, edge lengths 1 and √2 | |

8 scalene triangles, edge lengths 1, √2, √3 | |

Measures (edge length 1) | |

Circumradius | 1 |

Volume | |

Dihedral angles | 3–4: |

3–6: | |

4–6: | |

Related polytopes | |

Army | Co |

Regiment | Bocuco |

Conjugate | None |

Abstract & topological properties | |

Flag count | 80 |

Orientable | Yes |

Properties | |

Symmetry | K_{3}, order 8 |

Flag orbits | 10 |

Convex | No |

Nature | Tame |

## Vertex coordinates edit

Its vertices are the same as those of the cuboctahedron.

## External links edit

- Bowers, Jonathan. "Batch 1: Oct and Co Facetings" (#7 under co).

This article is a stub. You can help Polytope Wiki by expanding it. |