# Great antifrustary prismatotetrisicositetrachoron

The **great antifrustary prismatotetrisicositetrachoron**, or **gafputi**, is a nonconvex uniform polychoron that consists of 24 great rhombihexahedra, 24 great cubicuboctahedra, 24 small rhombihexahedra, 24 small cubicuboctahedra, and 96 hexagonal prisms. Two great rhombihexahedra, two great cubicuboctahedra, two small rhombihexahedra, two small cubicuboctahedra, and four hexagonal prisms join at each vertex.

Great antifrustary prismatotetrisicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gafputi |

Elements | |

Cells | 24 groh, 24 gocco, 24 sroh, 24 socco, 96 hip |

Faces | 192 triangles, 720 squares, 96 hexagons, 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 | 240 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

It has the same cell counts as the small antifrustary prismatotetrisicositetrachoron, but the great rhombihexahedra, great cubicuboctahedra, small rhombihexahedra, and small cubicuboctahedra are in different positions.

## Vertex coordinatesEdit

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

## External linksEdit

- Bowers, Jonathan. "Category 15: Afdec Regiment" (#636).

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