# Enneagonal duotruncatoprism

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Enneagonal duotruncatoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Edtep |

Elements | |

Cells | 81 tetragonal disphenoids, 162 wedges, 81 rectangular trapezoprisms, 18 dienneagonal prisms |

Faces | 324 isosceles triangles, 324 isosceles trapezoids, 162+162 rectangles, 18 dienneagons |

Edges | 162+162+324+324 |

Vertices | 324 |

Vertex figure | Mirror-symmetirc bi-apiculated tetrahedron |

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

Edge lengths | Edges of octadecagons (162+162): 1 |

Edges of pseudo-enneagons (324): | |

Lacing edges (324): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Edtep |

Regiment | Edtep |

Dual | Enneagonal duotruncatotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **enneagonal duotruncatoprism** or **edtep** is a convex isogonal polychoron and the eighth member of the duotruncatoprism family. It consists of 18 dienneagonal prisms, 81 rectangular trapezoprisms, 162 wedges, and 81 tetragonal disphenoids. 2 dienneagonal 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 enneagonal-dienneagonal duoprisms whose dienneagonal prisms have a smaller circumradius than their enneagonal prisms. However, it cannot be made uniform.