# Icositetraretrointercepted prismatotetracontoctachoron

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Icositetraretrointercepted prismatotetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Irnpac |

Elements | |

Cells | 48 oct, 24 querco, 96 trip |

Faces | 384 triangles, 360 squares |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Inpac |

Abstract & topological properties | |

Euler characteristic | 144 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

The **icositetraretrointercepted prismatotetracontoctachoron**, or **irnpac**, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 quasirhombicuboctahedra, and 96 triangular prisms. Two octahedra, four quasirhombicuboctahedra, and four triangular prisms join at each vertex.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#544).

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