# Faceted rectified hexacosichoron

Faceted rectified hexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Frox |

Coxeter diagram | x3o3/2x5o -600 2thah |

Elements | |

Cells | 120 id, 720 pip |

Faces | 1200 triangles, 1800 squares, 1440 pentagons |

Edges | 3600 |

Vertices | 720 |

Vertex figure | Pentagrammic toroprism |

Edge figure | id.id.pip.pip.pip |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Number of external pieces | 40680 |

Level of complexity | 80 |

Related polytopes | |

Army | Rox |

Regiment | Rox |

Conjugate | Retroinverted prismatohecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **faceted rectified hexacosichoron**, or **frox**, is a nonconvex uniform polychoron that consists of 120 icosidodecahedra and 720 pentagonal prisms. 5 icosidodecahedra and 10 pentagonal prisms join at each vertex.

It is in the regiment of the rectified hexacosichoron.

## Gallery

## External links

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#77).

- Klitzing, Richard. "frox".