# Truncated hendecagonal duoprism

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Truncated hendecagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Tahendip |

Elements | |

Cells | 121 tetragonal disphenois, 22 truncated hendecagonal prisms |

Faces | 484 isosceles triangles, 121 ditetragons, 22 dihendecagons |

Edges | 242+242+484 |

Vertices | 484 |

Vertex figure | Sphenoid |

Measures (based on icosidigon edge length 1) | |

Edge lengths | Lacing edges (484): |

Edges of icosidigons (242+242): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Tahendip |

Regiment | Tahendip |

Dual | Tetrakis hendecagonal duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(11)≀S_{2}, order 968 |

Convex | Yes |

Nature | Tame |

The **truncated hendecagonal duoprism** or **tahendip** is a convex isogonal polychoron that consists of 22 truncated hendecagonal prisms and 121 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated hendecagonal prisms join at each vertex. It can be formed by truncating the hendecagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform hendecagonal-icosidigonal duoprisms chosen such that the icosidigonal and hendecagonal prisms have the same circumradius. if the icosidigons of this duoprism have edge length 1, the hendecagons have edge length .

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.35693.