# Small cellated icositetrachoric tetracomb

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Small cellated icositetrachoric tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Scicot |

Coxeter diagram | x3o4o3o3x () |

Elements | |

Tera | 24N tetrahedral duoprisms, 32N triangular duoprisms, 12N octahedral prisms, 3N hexadecachora, N icositetrachora |

Cells | 48N tetrahedra, 96N+96N triangular prisms, 24N octahedra |

Faces | 96N+96N triangles, 144N squares |

Edges | 72N+96N |

Vertices | 24N |

Vertex figure | Octahedron atop cube, edge lengths 1 (bases) and √2 (sides) |

Related polytopes | |

Army | Scicot |

Regiment | Scicot |

Conjugate | Quasicellated icositetrachoric tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | U_{5} |

Convex | Yes |

Nature | Tame |

The **small cellated icositetrachoric tetracomb** or **stericated icositetrachoric tetracomb** is a convex uniform tetracomb. 1 icositetrachoron, 1 hexadecachoron, 6 octahedral prisms, 8 tetrahedral prisms, and 12 triangular duoprisms join at each vertex of this tessellation. As the name suggests, it is the sterication of the icositetrachoric tetracomb, or equivalently sterication of the dual hexadecachoric tetracomb.

## External links[edit | edit source]

- Klitzing, Richard. "scicot".
- Wikipedia contributors. "Stericated 24-cell honeycomb".