# Faceted rectified great hecatonicosachoron

Faceted rectified great hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Froghi |

Elements | |

Cells | 120 id, 600 tut |

Faces | 2400 triangles, 720 pentagons, 1200 hexagons |

Edges | 3600 |

Vertices | 720 |

Vertex figure | Pentagrammic toroprism |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 503040 |

Level of complexity | 1197 |

Related polytopes | |

Army | Rox |

Regiment | Righi |

Conjugate | Rihix |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **faceted rectified great hecatonicosachoron**, or **froghi**, is a nonconvex uniform polychoron that consists of 120 icosidodecahedra and 600 truncated tetrahedra. Five icosidodecahedra and ten truncated tetrahedra meet at each vertex.

It has gikes and gidheis as pseudofacets.

## Gallery

## Vertex coordinates

The vertices are the same as those of the regiment colonel, the rectified great hecatonicosachoron.

## External links

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#92).