# Grand ditetrahedronary cubihecatonicosachoron

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Grand ditetrahedronary cubihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gadtachi |

Elements | |

Cells | 600 cube, 120 gird |

Faces | 3600 squares, 720 decagrams |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Hi |

Regiment | Gadtaxady |

Conjugate | Siddatchi |

Abstract properties | |

Euler characteristic | 600 |

Topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

Discovered by | {{{discoverer}}} |

The **grand ditetrahedronary cubihecatonicosachoron**, or **gadtachi**, is a nonconvex uniform polychoron that consists of 600 cubes and 120 great rhombidodecahedra. Eight cubes and twelve great rhombidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#878).

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