# Inverted retropental hexacosintercepted dishecatonicosachoron

Inverted retropental hexacosintercepted dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Irp xanady |

Elements | |

Cells | |

Faces | |

Edges | 3600 |

Vertices | 720 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 243840 |

Level of complexity | 606 |

Related polytopes | |

Army | Rox |

Regiment | Ragishi |

Conjugate | Pental hexacosihecatonicosintercepted hecatonicosachoron |

Convex core | Hexacosichoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 2040 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Flag orbits | 8 |

Convex | No |

Nature | Wild |

The **inverted retropental hexacosintercepted dishecatonicosachoron**, or **irp xanady**, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 600 truncated tetrahedra, and 120 great ditrigonal dodecicosidodecahedra. Two great dodecahedra, ten truncated tetrahedra, and ten great ditrigonal dodecicosidodecahedra join at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#117).