# Antifrustary prismatotrishecatonicosihexacosichoron

The **antifrustary prismatotrishecatonicosihexacosichoron**, or **afpathix**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 quasirhombicosidodecahedra, 120 quasirhombicosidodecahedra, and 1200 hexagonal prisms. One dodecadodecahedron, one octahedron, two quasirhombicosidodecahedra, two great icosicosidodecahedra, and four hexagonal prisms join at each vertex.

Antifrustary prismatotrishecatonicosihexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Afpathix |

Elements | |

Cells | 120 did, 600 oct, 120 qrid, 120 giid, 1200 hip |

Faces | 4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons |

Edges | 7200+7200 |

Vertices | 3600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Xhi |

Regiment | Affixthi |

Conjugate | Afpixthi |

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" (#691).

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