# Great dipentary dishecatonicosiprismatotrishecatonicosachoron

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Great dipentary dishecatonicosiprismatotrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gidpid hipthi |

Elements | |

Cells | 120 gike, 120 ike, 720 pip, 120 tiggy, 120 qrid, 120 giid |

Faces | 4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons |

Edges | 3600+3600 |

Vertices | 1440 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Gidipthi |

Conjugate | Small dipentary dishecatonicosiprismatotrishecatonicosachoron |

Abstract & topological properties | |

Flag count | 230400 |

Euler characteristic | 6600 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **great dipentary dishecatonicosiprismatotrishecatonicosachoron**, or **gidpid hipthi**, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 720 pentagonal prisms, 120 truncated great icosahedra, 120 quasirhombicosidodecahedra, and 120 great icosicosidodecahedra. One great icosahedron, one icosahedron, five pentagonal prisms, five truncated great icosahedra, five quasirhombicosidodecahedra, and five great icosicosidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great dipentary trishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 22: Gidipthi Regiment" (#1086).

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