# Heptagonal tiling honeycomb

The **(order-3) heptagonal tiling honeycomb** is a hypercompact regular tiling of 3D hyperbolic space. Each cell is a heptagonal tiling whose vertices lie on a 2-hypercycle. 3 heptagonal tilings meet at each edge, and 4 meet at each vertex.

Heptagonal tiling honeycomb | |
---|---|

Rank | 4 |

Type | Regular |

Space | Hyperbolic, noncompact |

Notation | |

Coxeter diagram | x7o3o3o () |

Schläfli symbol | {7,3,3} |

Elements | |

Cells | Heptagonal tilings |

Faces | Heptagons |

Vertex figure | Tetrahedron |

Related polytopes | |

Army | * |

Regiment | * |

Dual | Order-7 tetrahedral honeycomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | [7,3,3] |

Convex | Yes |

## External links Edit

- Wikipedia contributors. "Heptagonal tiling honeycomb".

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