# Hendecagonal antiditetragoltriate

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Hendecagonal antiditetragoltriate | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Henadet |

Elements | |

Cells | 121+121 tetragonal disphenoids, 242 rectangular pyramids, 22 hendecagonal prisms |

Faces | 484+484 isosceles triangles, 242 rectangles, 22 hendecagons |

Edges | 242+242+484 |

Vertices | 242 |

Vertex figure | Biaugmented triangular prism |

Measures (based on same duoprisms as optimized hendecagonal ditetragoltriate) | |

Edge lengths | Edges of smaller hendecagon (242): 1 |

Lacing edges (484): | |

Edges of larger hendecagon (242): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Henadet |

Regiment | Henadet |

Dual | Hendecagonal antitetrambitriate |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **hendecagonal antiditetragoltriate** or **henadet** is a convex isogonal polychoron and the ninth member of the antiditetragoltriate family. It consists of 22 hendecagonal prisms, 242 rectangular pyramids, and 242 tetragonal disphenoids of two kinds. 2 hendecagonal prisms, 4 tetragonal disphenoids, and 5 rectangular pyramids join at each vertex. However, it cannot be made scaliform.

It can be formed as the convex hull of 2 oppositely oriented semi-uniform hendecagonal duoprisms where the larger hendecagon is more than times the edge length of the smaller one.