# Cubohemioctahedral prism

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Cubohemioctahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Chope |

Coxeter diagram | (x o4/3x3x4*b)/2 () |

Elements | |

Cells | 6 cubes, 4 hexagonal prisms, 2 cubohemioctahedra |

Faces | 12+24 squares, 8 hexagons |

Edges | 12+48 |

Vertices | 24 |

Vertex figure | Bowtie pyramid, edge lengths √2, √3 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Cho–4–cube: 90° |

Cho–6–hip: 90° | |

Cube–4–hip: | |

Height | 1 |

Number of external pieces | 40 |

Related polytopes | |

Army | Cope |

Regiment | Cope |

Dual | Hexahemioctacronic tegum |

Conjugate | None |

Abstract & topological properties | |

Flag count | 768 |

Euler characteristic | –4 |

Orientable | No |

Properties | |

Symmetry | B_{3}×A_{1}, order 96 |

Convex | No |

Nature | Tame |

The **cubohemioctahedral prism** or **chope** is a prismatic uniform polychoron that consists of 2 cubohemioctahedra, 6 cubes, and 4 hexagonal prisms. Each vertex joins 1 cubohemioctahedron, 2 cubes, and 2 hexagonal prisms. As the name suggests, it is a prism based on the cubohemioctahedron.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the cuboctahedral prism.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#910).

- Klitzing, Richard. "chope".