# Great antifrustary prismatodistetracontoctachoron

The **great antifrustary prismatodistetracontoctachoron**, or **gafpaddic**, is a nonconvex uniform polychoron that consists of 48 great cubicuboctahedra, 48 small rhombicuboctahedra, and 96 hexagonal prisms. Four great cubicuboctahedra, four small rhombicuboctahedra, and four hexagonal prisms join at each vertex.

Great antifrustary prismatodistetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gafpaddic |

Elements | |

Cells | 48 gocco, 48 sirco, 96 hip |

Faces | 384 triangles, 864 squares, 96 hexagons, 144 octagrams |

Edges | 576+576 |

Vertices | 288 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Cont |

Regiment | Afdec |

Conjugate | Afpaddic |

Abstract & topological properties | |

Euler characteristic | 432 |

Orientable | No |

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" (#626).

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