# Bihendecagonal duotransitionalterprism

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Bihendecagonal duotransitionalterprism | |
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File:Bihendecagonal duotransitionalterprism.png | |

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 121 rectangular trapezoprisms, 22 dihendecagonal prisms, 22 orthoaligned truncated hendecagonal prisms |

Faces | 484 isosceles trapezoids, 242+242 rectangles, 121 ditetragons, 44 dihendecagons |

Edges | 484+484+484+484 |

Vertices | 968 |

Vertex figure | Irregular tetrahedron |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Bihendecagonal duotransitionaltertegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

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

This polychoron can be alternated into a snub hendecagonal duotransitionalterprism, which is also not scaliform.

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

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