# Small ditetrahedronary cubiprismatohecatonicosachoron

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Small ditetrahedronary cubiprismatohecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sidtacphi |

Elements | |

Cells | 120 compounds of five cubes, 120 dodecahedra, 720 pentagonal prisms |

Faces | 3600 squares, 1440 pentagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 32520 |

Level of complexity | 79 |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gadtacphi |

Abstract & topological properties | |

Flag count | 86400 |

Euler characteristic | 600 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small ditetrahedronary cubiprismatohecatonicosachoron**, or **sidtacphi**, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 dodecahedra, and 720 pentagonal prisms. Eight cubes (or four compounds), four dodecahedra, and twelve pentagonal prisms 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" (#788).

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