# Icositetrintercepted tetracontoctidisicositetrachoron

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Icositetrintercepted tetracontoctidisicositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Incdi |

Elements | |

Cells | 48 oct, 24 groh, 24 querco, 24 quith |

Faces | 288 triangles, 360 squares, 144 octagrams |

Edges | 576 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Spic |

Regiment | Giddic |

Conjugate | Dinic |

Abstract & topological properties | |

Euler characteristic | 168 |

Orientable | No |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

The **icositetrintercepted tetracontoctidisicositetrachoron**, or **incdi**, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 great rhombihexahedra, 24 quasirhombicuboctahedra, and 24 quasitruncated hexahedra. Two octahedra, four great rhombihexahedra, four quasirhombicuboctahedra, and four quasitruncated hexahedra 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" (#551).

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