# Antifrustary hexacosipentishecatonicosachoron

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Antifrustary hexacosipentishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Afxophi |

Elements | |

Cells | 120 did, 600 oct, 120 gird, 120 giddy, 120 srid, 120 siid |

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

Edges | 7200+7200 |

Vertices | 3600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Xhi |

Regiment | Affixthi |

Conjugate | Rafxophi |

Abstract & topological properties | |

Euler characteristic | 3120 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **antifrustary hexacosipentishecatonicosachoron**, or **afxophi**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great rhombidodecahedra, 120 great dodecicosahedra, 120 small rhombicosidodecahedra, and 120 small icosicosidodecahedra. One dodecadodecahedron, one octahedron, two great rhombidodecahedra, two great dodecicosahedra, two small rhombicosidodecahedra, and two small icosicosidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 16: Affixthi Regiment" (#671).

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