# Grand rhombic prismatopentachoron

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Grand rhombic prismatopentachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Garpop |

Coxeter diagram | x3x3/2x3/2x () |

Elements | |

Cells | 10 hexagonal prisms, 5 cubohemioctahedra |

Faces | 15+30 squares, 20 hexagons |

Edges | 30+60 |

Vertices | 30 |

Vertex figure | Crossed butterfly wedge, edge lengths √2 (6) and √3 (4) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Cho–4–hip: |

Cho–6–hip: | |

Hip–4–hip: | |

Related polytopes | |

Army | Srip |

Regiment | Srip |

Conjugate | None |

Convex core | Joined pentachoron |

Abstract & topological properties | |

Flag count | 1200 |

Euler characteristic | –10 |

Orientable | No |

Properties | |

Symmetry | A_{4}, order 120 |

Convex | No |

Nature | Tame |

The **grand rhombic prismatopentachoron**, or **garpop**, is a nonconvex uniform polychoron that consists of 5 cubohemioctahedra and 10 hexagonal prisms. 2 cubohemioctahedra and 10 hexagonal prisms join at each vertex.

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated pentachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 6: Sphenoverts" (#137).

- Klitzing, Richard. "garpop".