# Order-5 tesseractic tetracomb

The **order-5 tesseractic tetracomb**, or **pitest**, is a compact regular tiling of 4D hyperbolic space. 5 tesseracts meet at each face, and 600 meet at each vertex, forming a hexacosichoron as the vertex figure.

Order-5 tesseractic tetracomb | |
---|---|

Rank | 5 |

Dimension | 4 |

Type | Regular, compact |

Space | Hyperbolic |

Notation | |

Bowers style acronym | Pitest |

Coxeter diagram | o5o3o3o4x () |

Schläfli symbol | {4,3,3,5} |

Elements | |

Tera | 75N tesseracts |

Cells | 300N cubes |

Faces | 360N squares |

Edges | 120N |

Vertices | 2N |

Vertex figure | Hexacosichoron, edge length √2 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Pitest |

Regiment | Pitest |

Dual | Order-4 hecatonicosachoric tetracomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | [5,3,3,4] |

Convex | Yes |

This tetracomb can be alternated into a hexadecachoric-hexacosichoric tetracomb, which is uniform.

## External links edit

- Klitzing, Richard. "pitest".
- Wikipedia contributors. "Order-5 tesseractic honeycomb".