# Rectified heptagonal duoprism

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Rectified heptagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Rehedip |

Elements | |

Cells | 49 tetragonal disphenoids, 14 rectified heptagonal prisms |

Faces | 196 isosceles triangles, 49 squares, 14 heptagons |

Edges | 98+196 |

Vertices | 98 |

Vertex figure | Wedge |

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

Edge lengths | Lacing edges (196): |

Edges of heptagons (98): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Rehedip |

Regiment | Rehedip |

Dual | Joined heptagonal duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(7)≀S_{2}, order 392 |

Convex | Yes |

Nature | Tame |

The **rectified heptagonal duoprism** or **rehedip** is a convex isogonal polychoron that consists of 14 rectified heptagonal prisms and 49 tetragonal disphenoids. 3 rectified heptagonal prisms and 2 tetragonal disphenoids join at each vertex. It can be formed by rectifying the heptagonal duoprism.

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

The ratio between the longest and shortest edges is 1: ≈ 1:1.27416.