# Bitruncated tesseractic tetracomb

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Bitruncated tesseractic tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Batitit |

Coxeter diagram | o4x3x3o4o () |

Elements | |

Tera | N truncated hexadecachora, N tesseractihexadecachora |

Cells | 4N octahedra, 16N truncated tetrahedra, 4N truncated octahedra |

Faces | 32N triangles, 6N squares, 32N hexagons |

Edges | 24N+48N |

Vertices | 24N |

Vertex figure | Square scalene, edge lengths 11 (base square), √2 (top edge), and √3 (sides) |

Related polytopes | |

Army | Batitit |

Regiment | Batitit |

Conjugate | None |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | R_{5} |

Convex | Yes |

The **bitruncated tesseractic tetracomb**, or **batitit**, is a convex uniform tetracomb. 2 truncated hexadecachora and 4 tesseractihexadecachora join at each vertex of this tessellation. As the name suggests, it is the bitruncation of the tesseractic tetracomb.

## Vertex coordinates[edit | edit source]

The vertices of a bitruncated tesseractic tetracomb 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 bitruncated tesseractic tetracomb has the following Coxeter diagrams:

- o4x3x3o4o (full symmetry)
- o3x3o *b3x4o (half symmetry, rectangular scalene verf)
- x3x3x *b3o4o (half symmetry, square pyramidal pyramid verf)
- x3x3x *b3o *b3o (quarter symmetry, rectangular pyramidal pyramid verf)

## 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. "batitit".

- Wikipedia Contributors. "Bitruncated tesseractic honeycomb".