# Antifrustary trishecatonicosidishexacosichoron

The **antifrustary trishecatonicosidishexacosichoron**, or **afthiddix**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 quasirhombicosidodecahedra, 120 quasirhombicosidodecahedra, and 600 truncated octahedra. One dodecadodecahedron, one octahedron, two quasirhombicosidodecahedra, two great icosicosidodecahedra, and four truncated octahedra join at each vertex.

Antifrustary trishecatonicosidishexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Afthiddix |

Elements | |

Cells | 120 did, 600 oct, 120 qrid, 120 giid, 600 toe |

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

Edges | 7200+7200 |

Vertices | 3600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Xhi |

Regiment | Affixthi |

Conjugate | Afdixthi |

Abstract & topological properties | |

Euler characteristic | 2520 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

## Vertex coordinatesEdit

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

## External linksEdit

- Bowers, Jonathan. "Category 16: Affixthi Regiment" (#690).

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