# Hendecagonal tegum

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Hendecagonal tegum | |
---|---|

Rank | 3 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Bowers style acronym | Hent |

Coxeter diagram | m2m11o |

Elements | |

Faces | 22 isosceles triangles |

Edges | 11+22 |

Vertices | 2+11 |

Vertex figure | 2 hendecagons, 11 squares |

Measures (edge length 1) | |

Dihedral angle | |

Central density | 1 |

Number of external pieces | 22 |

Level of complexity | 3 |

Related polytopes | |

Army | Hent |

Regiment | Hent |

Dual | Hendecagonal prism |

Conjugates | Small hendecagrammic tegum, Hendecagrammic tegum, Great hendecagrammic tegum, Grand hendecagrammic tegum |

Abstract & topological properties | |

Flag count | 132 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | I_{2}(11)×A_{1}, order 44 |

Convex | Yes |

Nature | Tame |

The **hendecagonal tegum** or **hent**, also called a **hendecagonal bipyramid**, is a tegum with a hendecagon as the midsection, constructed as the dual of a hendecagonal prism. It has 22 isosceles triangles as faces, with 2 order–11 and 11 order–4 vertices. .

In the variant obtained as the dual of a uniform hendecagonal prism, the side edges are times the length of the edges of the base hendecagon. Each face has apex angle and base angles . If the base hendecagon has edge length 1, its height is .