# 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 |

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)
- o3o3o *b3x4x (half symmetry)

## Related polytopes[edit | edit source]

Name | OBSA | CD diagram | Picture |
---|---|---|---|

Tesseractic tetracomb | test | ||

Rectified tesseractic tetracomb | rittit | ||

Icositetrachoric tetracomb | icot | ||

Truncated tesseractic tetracomb | tattit | ||

Bitruncated tesseractic tetracomb | batitit | ||

Small rhombated tesseractic tetracomb | srittit | ||

Rectified icositetrachoric tetracomb | ricot | ||

Great rhombated tesseractic tetracomb | grittit | ||

Truncated icositetrachoric tetracomb | ticot | ||

Small prismated tesseractic tetracomb | sidpitit | ||

Prismatotruncated tesseractic tetracomb | potatit | ||

Prismatorhombated tesseractic tetracomb | prittit | ||

Great prismated tesseractic tetracomb | gippittit | ||

Tesseractic tetracomb | test | ||

Celliprismated tesseractic tetracomb | capotat | ||

Cellirhombated tesseractic tetracomb | scartit | ||

Celligreatorhombated tesseractic tetracomb | gicartit | ||

Celliprismatotruncated tesseractic tetracomb | captatit | ||

Great cellated tesseractic tetracomb | otatit |

## External links[edit | edit source]

- Klitzing, Richard. "tattit".

- Wikipedia Contributors. "Truncated tesseractic honeycomb".