# Heptagonal duotransitionalterprism

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Heptagonal duotransitionalterprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 49 rectangular trapezoprisms, 14 heptagonal prisms, 14 heptagonal trapezorhombihedra |

Faces | 196 isosceles trapezoids, 98 rectangles, 49 squares, 28 heptagons |

Edges | 98+196+196 |

Vertices | 196 |

Vertex figure | Isosceles trapezoidal pyramid |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Heptagonal duotransitionaltertegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **heptagonal duotransitionalterprism** is a convex isogonal polychoron and the eighth member of the duotransitionalterprism family. It consists of 14 heptagonal trapezorhombihedra, 14 heptagonal prisms, and 49 rectangular trapezoprisms. 2 heptagonal trapezorhombihedra, 1 heptagonal prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal heptagonal-diheptagonal duoprisms. However, it cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.27416.