# Hendecagonal duotegum

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Hendecagonal duotegum | |
---|---|

Rank | 4 |

Type | Noble |

Space | Spherical |

Notation | |

Bowers style acronym | Hendit |

Coxeter diagram | m11o2m11o |

Elements | |

Cells | 121 tetragonal disphenoids |

Faces | 242 isosceles triangles |

Edges | 22+121 |

Vertices | 22 |

Vertex figure | Hendecagonal tegum |

Measures (based on hendecagons of edge length 1) | |

Edge lengths | Base (22): 1 |

Lacing (121): | |

Circumradius | |

Inradius | |

Central density | 1 |

Related polytopes | |

Army | Hendit |

Regiment | Hendit |

Dual | Hendecagonal duoprism |

Conjugates | Small hendecagrammic duotegum, hendecagrammic duotegum, great hendecagrammic duotegum, grand hendecagrammic duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **hendecagonal duotegum** or **hendit**, also known as the **hendecagonal-hendecagonal duotegum**, the **11 duotegum**, or the **11-11 duotegum**, is a noble duotegum that consists of 121 tetragonal disphenoids and 22 vertices, with 22 cells joining at each vertex. It is also the 22-10 step prism. It is the first in an infinite family of isogonal hendecagonal hosohedral swirlchora and also the first in an infinite family of isochoric hendecagonal dihedral swirlchora.

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