# Octagonal duotruncatoprism

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Octagonal duotruncatoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Odtep |

Elements | |

Cells | 64 tetragonal disphenoids, 128 wedges, 64 rectangular trapezoprisms, 16 dioctagonal prisms |

Faces | 256 isosceles triangles, 256 isosceles trapezoids, 128+128 rectangles, 16 dioctagons |

Edges | 128+128+256+256 |

Vertices | 256 |

Vertex figure | Mirror-symmetric bi-apiculated tetrahedron |

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

Edge lengths | Edges of hexadecagons (128+128): 1 |

Lacing edges (256): | |

Edges of pseudo-octagons (256): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Odtep |

Regiment | Odtep |

Dual | Octagonal duotruncatotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **octagonal duotruncatoprism** is a convex isogonal polychoron and the seventh member of the duotruncatoprism family. It consists of 16 dioctagonal prisms, 64 rectangular trapezoprisms, 128 wedges, and 64 tetragonal disphenoids. 2 dioctagonal 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 octagonal-dioctagonal duoprisms whose dioctagonal prisms have a smaller circumradius than their octagonal prisms. However, it cannot be made uniform.