# Icositetrafaceted prismatoicositetritetracontoctachoron

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Icositetrafaceted prismatoicositetritetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ifpic |

Elements | |

Cells | 48 oct, 24 quith, 24 groh, 96 trip |

Faces | 384 triangles, 288 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Dirpidic |

Abstract & topological properties | |

Euler characteristic | 192 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

The **icositetrifaceted prismatoicositetritetracontoctachoron**, or **ifpic**, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 quasitruncated hexahedra, 24 great rhombihexahedra, and 96 triangular prisms. Two octahedra, four quasitruncated hexahedra, four great rhombihexahedra, and four triangular prisms join at each vertex.

It has the same cell counts as the diretroprismatotetracontoctodisicositetrachoron, but the small rhombihexahedra and triangular prisms are in different positions.

## 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" (#548).

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