# Triangular-antitegmatic dischiliatetracosichoron

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Triangular-antitegmatic dischiliatetracosichoron | |
---|---|

Rank | 4 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Coxeter diagram | m5o3o3m () |

Elements | |

Cells | 2400 triangular antitegums |

Faces | 3600+3600 kites |

Edges | 1440+2400+3600 |

Vertices | 120+600+720+1200 |

Vertex figure | 1200 triangular bipyramids, 720 pentagonal bipyramids, 600 tetrahedra, 120 icosahedra |

Measures (edge length 1) | |

Dichoral angle | |

Central density | 1 |

Related polytopes | |

Dual | Small disprismatohexacosihecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | Yes |

Nature | Tame |

The **triangular-antitegmatic dischiliatetracosichoron** is a convex isochoric polychoron with 2400 triangular antitegums as cells. It can be obtained as the dual of the small disprismatohexacosihecatonicosachoron.

It can also be constructed as the convex hull of a hecatonicosachoron, a hexacosichoron, a rectified hexacosichoron, and a rectified hecatonicosachoron. If the hecatonicosachoron has edge length 1, the hexacosichoron has edge length , the rectified hexacosichoron has edge length , and the rectified hecatonicosachoron has edge length .