# Hendecagonal duotruncatoprism

Jump to navigation
Jump to search

Hendecagonal duotruncatoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Hendtep |

Elements | |

Cells | 121 tetragonal disphenoids, 242 wedges, 121 rectangular trapezoprisms, 22 dihendecagonal prisms |

Faces | 484 isosceles triangles, 484 isosceles trapezoids, 242+242 rectangles, 22 dihendecagons |

Edges | 242+242+484+484 |

Vertices | 484 |

Vertex figure | Mirror-symmetric bi-apiculated tetrahedron |

Measures (based on icosidigon edge length 1 and same radius ratio as uniform-derived hendecagonal duoexpandoprism) | |

Edge lengths | Edges of icosidigons (242+242): 1 |

Edges of pseudo-hendecagons (484): | |

Lacing edges (484): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Hendtep |

Regiment | Hendtep |

Dual | Hendecagonal duotruncatotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **hendecagonal duotruncatoprism** or **hendtep** is a convex isogonal polychoron and the tenth member of the duotruncatoprism family. It consists of 22 dihendecagonal prisms, 121 rectangular trapezoprisms, 242 wedges, and 121 tetragonal disphenoids. 2 dihendecagonal prisms, 2 rectangular trapezoprisms, 3 wedges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal hendecagonal-dihendecagonal duoprisms whose dihendecagonal prisms have a smaller radius than their hendecagonal prisms. However, it cannot be made uniform.