# Small antifrustary tetracontoctiprismatotetracontoctachoron

(Redirected from Safcappic)

Small antifrustary tetracontoctiprismatotetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Safcappic |

Elements | |

Cells | 48 co, 48 querco, 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 | Gafcappic |

Abstract & topological properties | |

Euler characteristic | 288 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

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

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 15: Afdec Regiment" (#628).

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