# Antifrustary tetracontoctitetrisicositetrachoron

The **antifrustary tetracontoctitetrisicositetrachoron**, or **afcuti**, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 great cubicuboctahedra, 24 great rhombihexahedra, 24 small cubicuboctahedra, and 24 small rhombihexahedra. Two cuboctahedra, two great cubicuboctahedra, two great rhombihexahedra, two small cubicuboctahedra, and two small rhombihexahedra join at each vertex.

Antifrustary tetracontoctitetrisicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Afcuti |

Elements | |

Cells | 48 co, 24 gocco, 24 groh, 24 socco, 24 sroh |

Faces | 288 triangles, 576 squares, 144 octagons, 144 octagrams |

Edges | 576+576 |

Vertices | 288 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Cont |

Regiment | Afdec |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 144 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

## Vertex coordinates edit

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

## External links edit

- Bowers, Jonathan. "Category 15: Afdec Regiment" (#622).

This article is a stub. You can help Polytope Wiki by expanding it. |