# Great retroinverted dishecatonicosacoincidic hecatonicosachoron

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Great retroinverted dishecatonicosacoincidic hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Grid hichi |

Elements | |

Cells | 120 icosahedra, 120 great dodecahedra, 120 great icosicosidodecahedra |

Faces | 2400 triangles, 1440 pentagons, 1200 hexagons |

Edges | 3600 |

Vertices | 720 |

Vertex figure | Faceting of pentagonal prism |

Edge figure | ike.giid.giid.gad.giid.giid |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Related polytopes | |

Army | Rox |

Regiment | Ragishi |

Conjugate | Medial dishecatonicosacoincidic hecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Exotic |

The **great retroinverted dishecatonicosacoincidic hecatonicosachoron** is an ECC uniform polychoron that consists of 120 icosahedra, 120 great dodecahedra, and 120 great icosicosidodecahedra. 2 icosahedra, 2 great dodecahedra, and 10 great icosicosidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

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