# Icositetrintercepted icositetrachoron

The **icositetrintercepted icositetrachoron**, or **ini**, is a nonconvex uniform polychoron that consists of 24 cuboctahedra and 24 truncated octahedra. 3 cuboctahedra and 6 truncated octahedra join at each vertex.

Icositetrintercepted icositetrachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Ini |

Elements | |

Cells | 24 cuboctahedra, 24 truncated octahedra |

Faces | 96 triangles, 144 squares, 96 hexagons |

Edges | 288 |

Vertices | 96 |

Vertex figure | Triangular toroprism, edge lengths √2 (base edges), 1 (side edges of rectaangles), and √3 (side edges of triangles) |

Edge figure | co 3 co 4 toe 6 toe 6 toe 4 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | 68 |

Dichoral angles | Co–3–co: 120° |

Co–4–toe: 90° | |

Toe–6–toe: 60° | |

Number of pieces | 168 loc=6 |

Related polytopes | |

Army | Rico |

Regiment | Rico |

Conjugate | None |

Convex core | Icositetrachoron |

Abstract properties | |

Euler characteristic | 96 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | F_{4}, order 1152 |

Convex | No |

Nature | Wild |

It is wild because it has cuboctahedra intercepted by hexagons.

## Cross-sectionsEdit

## Vertex coordinatesEdit

Its vertices are the same as those of its regiment colonel, the rectified icositetrachoron.

## External linksEdit

- Bowers, Jonathan. "Category 3: Triangular Rectates" (#47).

- Bowers, Jonathan. "Category 6: Sphenoverts" (#47 - recount under tesseractic symmetry).

- Klitzing, Richard. "ini".