# Elongated gyrohexategmatic honeycomb

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Elongated gyrohexategmatic honeycomb | |
---|---|

Rank | 4 |

Type | uniform dual |

Space | Euclidean |

Elements | |

Cells | 2N irregular pentagonal prisms |

Faces | N+2N+2N rectangles, 2N mirror-symmetric pentagons |

Edges | 2N+2N+2N+2N |

Vertices | N+2N |

Vertex figure | N octahedra, 2N triangular tegums |

Related polytopes | |

Dual | Gyroelongated triangular prismatic honeycomb |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | W2❘W2❘W2+ |

Convex | Yes |

Nature | Tame |

The **elongated gyrohexategmatic honeycomb** is an isochoric honeycomb with irregular pentagonal prism cells. It can be obtained as the dual of the gyroelongated triangular prismatic honeycomb.