# Rectified hendecagonal duoprism

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Rectified hendecagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Rehendip |

Elements | |

Cells | 121 tetragonal disphenoids, 22 rectified hendecagonal prisms |

Faces | 484 isosceles triangles, 121 squares, 22 hendecagons |

Edges | 242+484 |

Vertices | 242 |

Vertex figure | Wedge |

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

Edge lengths | Lacing edges (484): |

Edges of hendecagons (242): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Rehendip |

Regiment | Rehendip |

Dual | Joined hendecagonal duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **rectified hendecagonal duoprism** or **rehendip** is a convex isogonal polychoron that consists of 22 rectified hendecagonal prisms and 121 tetragonal disphenoids. 3 rectified hendecagonal duoprisms and 2 tetragonal disphenoids join at each vertex. It can be formed by rectifying the hendecagonal duoprism.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform hendecagonal duoprisms, where the edges of one hendecagon are times as long as the edges of the other.

The ratio between the longest and shortest edges is 1: ≈ 1:1.35693.