# Truncated hexagonal duoprism

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Truncated hexagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Tahiddip |

Elements | |

Cells | 36 tetragonal disphenoids, 12 truncated hexagonal prisms |

Faces | 144 isosceles triangles, 36 ditetragons, 12 dihexagons |

Edges | 72+72+144 |

Vertices | 144 |

Vertex figure | Sphenoid |

Measures (variant with dodecagon edge length 1) | |

Edge lengths | Lacing edges (144): |

Edges of dodecagons (72+72): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Tahiddip |

Regiment | Tahiddip |

Dual | Tetrakis hexagonal duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | G_{2}≀S_{2}, order 288 |

Convex | Yes |

Nature | Tame |

The **truncated hexagonal duoprism** or **tahiddip** is a convex isogonal polychoron that consists of 12 truncated hexagonal prisms and 36 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated hexagonal prisms join at each vertex. It can be formed by truncating the hexagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform hexagonal-dodecagonal duoprisms chosen such that the dodecagonal and hexagonal prisms have the same circumradius. if the dodecagons of this duoprism have edge length 1, the hexagons have edge length .

Using the ratio method, the lowest possible ratio between the longest and shortest edges is .