# Icositetrintercepted icositetritetracontoctachoron

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Icositetrintercepted icositetritetracontoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Inic |

Elements | |

Cells | 24+24 octahedra, 24 quasitruncated hexahedra, 24 great cubicuboctahedra |

Faces | 192+192 triangles, 72 squares, 144 octagrams |

Edges | 288+288 |

Vertices | 144 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Oct–3–quith: 120° |

Gocco–8/3–quith: 90° | |

Gocco–4–gocco: 90° | |

Gocco–3–quith: 60° | |

Related polytopes | |

Army | Spic, edge length |

Regiment | Giddic |

Conjugate | Icositetraretorointercepted icositetritetracontoctachoron |

Convex core | Icositetrachoron |

Abstract & topological properties | |

Flag count | 10368 |

Euler characteristic | 72 |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

The **icositetrintercepted icositetritetracontoctachoron**, or **inic**, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 quasitruncated hexahedra and 24 great cubicuboctahedra. Two octahedra, four quasitruncated hexahedra, and four great cubicuboctahedra 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" (#541).

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