# Enneagonal disphenoid

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Enneagonal disphenoid | |
---|---|

Rank | 5 |

Type | Noble |

Notation | |

Bowers style acronym | Edow |

Elements | |

Tera | 18 enneagonal scalenes |

Cells | 81 tetragonal disphenoids, 18 enneagonal pyramids |

Faces | 162 isosceles triangles, 2 enneagons |

Edges | 18+81 |

Vertices | 18 |

Vertex figure | Enneagonal scalene |

Measures (base edge length 1, height h) | |

Edge lengths | Edges of base enneagons (18): 1 |

Lacing edges (81): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Edow |

Regiment | Edow |

Dual | Enneagonal disphenoid |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **enneagonal disphenoid** or **edow** is a convex noble polyteron with 18 enneagonal scalenes as facets. 11 facets join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.