# Great prismated tesseractic tetracomb

Great prismated tesseractic tetracomb | |
---|---|

Rank | 5 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Gippittit |

Coxeter diagram | x4x3x3x4o () |

Elements | |

Tera | 6N square-octagonal duoprisms, 4N truncated octahedral prisms, N truncated icositetrachora, N great disprismatotesseractihexadecachora |

Cells | 24N+24N cubes, 32N hexagonal prisms, 24N octagonal prisms, 8N+16N truncated octahedra, 4N great rhombicuboctahedra |

Faces | 48N+48N+96N+96N squares, 32N+64N hexagons, 24N octagons |

Edges | 96N+96N+96N+192N |

Vertices | 192N |

Vertex figure | Sphenoidal pyramid, edge lengths √2 (6), √3 (3), √2+√2 (1) |

Related polytopes | |

Army | Gippittit |

Regiment | Gippittit |

Conjugate | Great quasiprismated tesseractic tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | R_{5} |

Convex | Yes |

Nature | Tame |

The **great prismated tesseractic tetracomb** or **gippittit**, aslo called the **runcicantitruncated tesseractic tetracomb**, is a convex uniform tetracomb. 2 great disprismatotesseractihexadecachora, 1 truncated icositetrachoron, 1 truncated octahedral prism, and 1 square-octagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantitruncation of the tesseractic tetracomb.

## Vertex coordinates[edit | edit source]

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

- x4x3x3x4o (full symmetry)
- x3x3x *b3x4x (half symmetry)

## External links[edit | edit source]

- Klitzing, Richard. "gippittit".
- Wikipedia contributors. "Runcicantitruncated tesseractic honeycomb".