# Cellirhombated tesseractic tetracomb

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Cellirhombated tesseractic tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Cartit |

Coxeter diagram | x4o3x3o4x () |

Elements | |

Tera | 3N tesseracts, 4N small rhombicuboctahedral prisms, N small rhombated tesseracts |

Cells | 32N triangular prisms, 8N octahedra, 24N+24N cubes, 8N small rhombicuboctahedra |

Faces | 64N triangles, 24N+48N+96N squares |

Edges | 96N+96N |

Vertices | 48N |

Vertex figure | Antiduowedge, edge lengths 1 (edges of top square) and √2 (remaining edges) |

Related polytopes | |

Army | Cartit |

Regiment | Cartit |

Conjugate | Quasicelliquasirhombated tesseractic tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | R_{5}×2 |

Convex | Yes |

Nature | Tame |

The **cellirhombated tesseractic tetracomb** or **cartit**, also called the **stericantellated tesseractic tetracomb** is a convex uniform tetracomb. 2 small rhombated tesseracts, 4 small rhombicuboctahedral prisms, and 1 tesseract join at each vertex of this tessellation. As the name suggests, it is the stericantellation of the tesseractic tetracomb.

## Vertex coordinates[edit | edit source]

The vertices of a cellirhombated tesseractic tetracomb of edge length 1 are given by all permutations of:

- ,

where i, j, k, and l range over the integers.

## External links[edit | edit source]

- Klitzing, Richard. "cartit".
- Wikipedia contributors. "Stericantellated tesseractic honeycomb".