# Retroinverted hexacosihecatonicosachoron

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Retroinverted hexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Rixhi |

Elements | |

Cells | 120 tid, 600 oct |

Faces | 1200+2400 triangles, 720 decagons |

Edges | 3600 |

Vertices | 720 |

Vertex figure | Pentagonal toroprism |

Edge figure | oct.oct.tid.tid.tid |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 17400 |

Level of complexity | 38 |

Related polytopes | |

Army | Rox |

Regiment | Rox |

Conjugate | Faceted rectified great faceted hexacosichoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **retroinverted hexacosihecatonicosachoron**, or **rixhi**, is a nonconvex uniform polychoron that consists of 120 truncated dodecahedra and 600 octahedra. 5 octahedra and 10 truncated dodecahedra join at each vertex.

It is in the regiment of the rectified hexacosichoron.

## Gallery[edit | edit source]

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#78).

- Klitzing, Richard. "rixhi".