# Hendecagonal duotransitionalterprism

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Hendecagonal duotransitionalterprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 121 rectangular trapezoprisms, 22 hendecagonal prisms, 22 hendecagonal trapezorhombihedra |

Faces | 484 isosceles trapezoids, 242 rectangles, 121 squares, 44 hendecagons |

Edges | 242+484+484 |

Vertices | 484 |

Vertex figure | Isosceles trapezoidal pyramid |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Hendecagonal duotransitionaltertegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **hendecagonal duotransitionalterprism** is a convex isogonal polychoron and the tenth member of the duotransitionalterprism family. It consists of 22 hendecagonal trapezorhombihedra, 22 hendecagonal prisms, and 121 rectangular trapezoprisms. 2 hendecagonal trapezorhombihedra, 1 hendecagonal prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal hendecagonal-dihendecagonal duoprisms. However, it cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.35693.