# Enneagonal duotransitionalterprism

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Enneagonal duotransitionalterprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 81 rectangular trapezoprisms, 18 enneagonal prisms, 18 enneagonal trapezorhombihedra |

Faces | 324 isosceles trapezoids, 162 rectangles, 81 squares, 36 enneagons |

Edges | 162+324+324 |

Vertices | 324 |

Vertex figure | Isosceles trapezoidal pyramid |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Enneagonal duotransitionaltertegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(9)≀S_{2}, order 648 |

Convex | Yes |

Nature | Tame |

The **enneagonal duotransitionalterprism** is a convex isogonal polychoron and the eighth member of the duotransitionalterprism family. It consists of 18 enneagonal trapezorhombihedra, 18 enneagonal prisms, and 81 rectangular trapezoprisms. 2 enneagonal trapezorhombihedra, 1 enneagonal prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal enneagonal-dienneagonal duoprisms. However, it cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.32893.