# Antifrustary dishexacositrishecatonicosachoron

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Antifrustary dishexacositrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Afdixthi |

Elements | |

Cells | 120 did, 600 oct, 120 siid, 120 srid, 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 | Afthiddix |

Abstract & topological properties | |

Euler characteristic | 2520 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **antifrustary dishexacositrishecatonicosachoron**, or **afdixthi**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 small icosicosidodecahedra, 120 small rhombicosidodecahedra, and 600 truncated octahedra. One dodecadodecahedron, one octahedron, two small icosicosidodecahedra, two small rhombicosidodecahedra, and four truncated octahedra 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" (#688).

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