# Small ditetrahedronary cubihexacosidishecatonicosachoron

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Small ditetrahedronary cubihexacosidishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sadticaxady |

Elements | |

Cells | 120 compounds of five cubes, 600 tetrahedra, 120 dodecahedra, 120 small rhombicosidodecahedra |

Faces | 2400 triangles, 3600 squares, 1440 pentagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 117720 |

Level of complexity | 232 |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gadtacaxady |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 3000 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small ditetrahedronary cubihexacosidishecatonicosachoron**, or **sadticaxady**, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 600 tetrahedra, 120 dodecahedra, and 120 small rhombicosidodecahedra. Eight cubes (or four compounds), four tetrahedra, four dodecahedra, and twelve small rhombicosidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#796).

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