# Prismatoicositetrintercepted icositetritetracontoctachoron

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Prismatoicositetrintercepted icositetritetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Pinic |

Elements | |

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

Faces | 288 triangles, 360 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Inpic |

Abstract & topological properties | |

Euler characteristic | 168 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

The **prismatoicositetrintercepted icositetritetracontoctachoron**, or **pinic**, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 great rhombihexahedra, 24 great cubicuboctahedra, and 96 triangular prisms. Two octahedra, four great rhombihexahedra, four great cubicuboctahedra, 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" (#550).

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