# Antifrustary prismatotetrishecatonicosachoron

The **antifrustary prismatotetrishecatonicosachoron**, or **afupthi**, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 1200 hexagonal prisms. Two quasirhombicosidodecahedra, two great icosicosidodecahedra, two small dodecicosidodecahedra, two small ditrigonal dodecicosidodecahedra, and four hexagonal prisms join at each vertex.

Antifrustary prismatotetrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Afupthi |

Elements | |

Cells | 120 qrid, 120 giid, 120 saddid, 120 sidditdid, 1200 hip |

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

Edges | 7200+7200 |

Vertices | 3600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Xhi |

Regiment | Affixthi |

Conjugate | Gafupthi |

Abstract & topological properties | |

Euler characteristic | 4440 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

## Vertex coordinates edit

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

## External links edit

- Bowers, Jonathan. "Category 16: Affixthi Regiment" (#685).

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