# Bitruncated hexadecachoric tetracomb

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Bitruncated hexadecachoric tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Bithit |

Coxeter diagram | o3o4x3x3o () |

Elements | |

Tera | 3N tesseractihexadecachora, N truncated icositetrachora |

Cells | 12N cubes, 24N truncated tetrahedra, 24N truncated octahedra |

Faces | 32N triangles, 72N squares, 96N hexagons |

Edges | 96N+144N |

Vertices | 96N |

Vertex figure | Triangular scalene, edge lengths √2 (base triangle), 1 (top edge), and √3 (sides) |

Related polytopes | |

Army | Bithit |

Regiment | Bithit |

Conjugate | None |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | U_{5} |

Convex | Yes |

The **bitruncated hexadecachoric tetracomb**, or **bithit**, is a convex uniform tetracomb. 3 tesseractihexadecachora and 2 truncated icositetrachora join at each vertex of this tessellation. As the name suggests, it is the bitruncation of the hexadecachoric tetracomb.

## Representations[edit | edit source]

A bitruncated hexadecachoric tetracomb has the following Coxeter diagrams:

- o3o4x3x3o (full symmetry)
- x3x3o *b3x4o (demitesseractic tetracomb symmetry)
- x3x3x *b3x *b3o (quartertesseractic tetracomb symmetry)

## Related polytopes[edit | edit source]

## External links[edit | edit source]

- Klitzing, Richard. "bithit".

- Wikipedia Contributors. "Bitruncated 16-cell honeycomb".