# Small birhombated icositetrachoric tetracomb

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Small birhombated icositetrachoric tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Sibricot |

Coxeter diagram | o3x4o3x3o () |

Elements | |

Tera | 32N triangular duoprisms, 3N small rhombated tesseracts, N small rhombated icositetrachora |

Cells | 96N+96N triangular prisms, 24N octahedra, 12N cuboctahedra, 24N small rhombicuboctahedra |

Faces | 96N+96N+96N triangles, 72N+288N squares |

Edges | 288N+288N |

Vertices | 144N |

Vertex figure | Skew tetragonal disphenoidal prism, edge lengths 1 (base square and two edges of rectangle base) and √2 (sides and other edges of base rectangle) |

Related polytopes | |

Army | Sibricot |

Regiment | Sibricot |

Conjugate | Biquasirhombated icositetrachoric tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | U_{} |

Convex | Yes |

The **small birhombated icositetrachoric tetracomb** or **sibricot**, also called the **bicantellated icositetrachoric tetracomb**, is a convex uniform tetracomb. 2 small rhombated icositetrachora, 2 small rhombated tesseracts, and 2 triangular duoprisms join at each vertex of this tessellation. As the name suggests, it is the bicantellation of the icositetrachoric tetracomb, or equivalently bicantellation of the dual hexadecachoric tetracomb.

## Related polytopes[edit | edit source]

## External links[edit | edit source]

- Klitzing, Richard. "sibricot".