# Celliprismatotruncated tesseractic tetracomb

Celliprismatotruncated tesseractic tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Captatit |

Coxeter diagram | x4x3o3x4x () |

Elements | |

Tera | 4N truncated cubic prisms, 3N octagonal duoprisms, N prismatorhombated hexadecachora |

Cells | 32N triangular prisms, 24N+8N cuboctahedra, 24N octagonal prisms, 8N truncated cubes |

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

Edges | 96N+192N |

Vertices | 96N |

Vertex figure | Rectangular scalene, base edge lengths 1 and √2, remaining edge lengths √2 (5) and √2+√2 (4) |

Related polytopes | |

Army | Captatit |

Regiment | Captatit |

Conjugate | Quasiquasicelliprismatotruncated tesseractic tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | R_{5}×2 |

Convex | Yes |

Nature | Tame |

The **celliprismatotruncated tesseractic tetracomb** or **captatit**, also called the **steriruncitruncated tesseractic tetracomb** is a convex uniform tetracomb. 2 prismatorhombated hexadecachora, 2 truncated cubic prisms, and 2 octagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steriruncitruncation of the tesseractic tetracomb.

## Vertex coordinates[edit | edit source]

The vertices of a celliprismatotruncated 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. "captatit".
- Wikipedia contributors. "Steriruncitruncated tesseractic honeycomb".