# Antifrustary tetrishecatonicosachoron

The **antifrustary tetrishecatonicosachoron**, or **afuthi**, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small rhombicosidodecahedra, and 120 small icosicosidodecahedra. Two quasirhombicosidodecahedra, two great icosicosidodecahedra, two small rhombicosidodecahedra, and two small icosicosidodecahedra join at each vertex.

Antifrustary tetrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Afuthi |

Elements | |

Cells | 120 qrid, 120 giid, 120 srid, 120 siid |

Faces | 4800 triangles, 3600 squares, 2400 hexagons, 1440 pentagons, 1440 pentagrams |

Edges | 7200+7200 |

Vertices | 3600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Xhi |

Regiment | Affixthi |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 2400 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

## Vertex coordinatesEdit

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

## External linksEdit

- Bowers, Jonathan. "Category 16: Affixthi Regiment" (#668).

This article is a stub. You can help Polytope Wiki by expanding it. |