# Faceted rectified great hecatonicosachoron

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.

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

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Froghi |

Elements | |

Cells | |

Faces | |

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 | Retroinverted hecatonicosihexacosichoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Flag count | 72000 |

Euler characteristic | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Flag orbits | 5 |

Convex | No |

Nature | Tame |

It has great icosahedra and great dodecahemicosahedra as pseudofacets.

## Gallery Edit

## Vertex coordinates Edit

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

## External links Edit

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