# Octagonal antiditetragoltriate

(Redirected from Oadet)

Octagonal antiditetragoltriate | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Oadet |

Elements | |

Cells | 64+64 tetragonal disphenoids, 128 rectangular pyramids, 16 octagonal prisms |

Faces | 256+256 isosceles triangles, 128 rectangles, 16 octagons |

Edges | 128+128+256 |

Vertices | 128 |

Vertex figure | Biaugmented triangular prism |

Measures (based on same duoprisms as optimized octagonal ditetragoltriate) | |

Edge lengths | Edges of smaller octagon (128): 1 |

Lacing edges (256): | |

Edges of larger octagon (128): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Oadet |

Regiment | Oadet |

Dual | Octagonal antitetrambitriate |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(8)≀S_{2}, order 512 |

Convex | Yes |

Nature | Tame |

The **octagonal antiditetragoltriate** or **oadet** is a convex isogonal polychoron and the sixth member of the antiditetragoltriate family. It consists of 16 octagonal prisms, 128 rectangular pyramids, and 128 tetragonal disphenoids of two kinds. 2 octagonal prisms, 4 tetragonal disphenoids, and 5 rectangular pyramids join at each vertex. However, it cannot be made scaliform.

It can be formed as the convex hull of 2 oppositely oriented semi-uniform octagonal duoprisms where the larger octagon is more than times the edge length of the smaller one.