# Truncated heptagonal duoprism

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Truncated heptagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Tahedip |

Elements | |

Cells | 49 tetragonal disphenoids, 14 truncated heptagonal prisms |

Faces | 196 isosceles triangles, 49 ditetragons, 14 diheptagons |

Edges | 98+98+196 |

Vertices | 196 |

Vertex figure | Sphenoid |

Measures (variant with tetradecagon edge length 1) | |

Edge lengths | Lacing edges (196): |

Edges of tetradecagons (98+98): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Tahedip |

Regiment | Tahedip |

Dual | Tetrakis heptagonal duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(7)≀S_{2}, order 392 |

Convex | Yes |

Nature | Tame |

The **truncated heptagonal duoprism** or **tahedip** is a convex isogonal polychoron that consists of 14 truncated heptagonal prisms and 49 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated heptagonal prisms join at each vertex. It can be formed by truncating the heptagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform heptagonal-tetradecagonal duoprisms chosen such that the tetradecagonal and heptagonal prisms have the same circumradius. if the tetradecagons of this duoprism have edge length 1, the heptagons have edge length .

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.27416.