# Great antifrustary tetracontoctiprismatotetracontoctachoron

The **great antifrustary tetracontoctiprismatotetracontoctachoron**, or **gafcappic**, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 48 small rhombicuboctahedra, and 96 hexagonal prisms. Two cuboctahedra, four small rhombicuboctahedra, and four hexagonal prisms join at each vertex.

Great antifrustary tetracontoctiprismatotetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gafcappic |

Elements | |

Cells | 48 co, 48 sirco, 96 hip |

Faces | 384 triangles, 864 squares, 96 hexagons |

Edges | 576+576 |

Vertices | 288 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Cont |

Regiment | Afdec |

Conjugate | Safcappic |

Abstract & topological properties | |

Euler characteristic | 288 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

## Vertex coordinatesEdit

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

## External linksEdit

- Bowers, Jonathan. "Category 15: Afdec Regiment" (#627).

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