# Truncated tesseractic tetracomb

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Truncated tesseractic tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Tattit |

Coxeter diagram | x4x3o3o4o () |

Elements | |

Tera | N hexadecachora, N truncated tesseracts |

Cells | 16N tetrahedra, 4N truncated cubes |

Faces | 32N triangles, 6N octagons |

Edges | 4N+24N |

Vertices | 8N |

Vertex figure | Octahedral pyramid, edge lengths 1 (base) and √2+√2 (sides) |

Related polytopes | |

Army | Tattit |

Regiment | Tattit |

Conjugate | Quasitruncated tesseractic tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | R_{5} |

Convex | Yes |

Nature | Tame |

The **truncated tesseractic tetracomb**, or **tattit**, is a convex uniform tetracomb. 1 hexadecachoron and 8 truncated tesseracts join at each vertex of this tessellation. As the name suggests, it is the truncation of the tesseractic tetracomb.

## Vertex coordinates[edit | edit source]

The vertices of a truncated cubic honeycomb of edge length 1 are given by all permutations of:

- ,

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

## Representations[edit | edit source]

A truncated tesseractic tetracomb has the following Coxeter diagrams:

- x4x3o3o4o () (full symmetry)
- o3o3x4x *b3o () (half symmetry)

## External links[edit | edit source]

- Klitzing, Richard. "tattit".
- Wikipedia contributors. "Truncated tesseractic honeycomb".