# Octagonal tegum

Jump to navigation
Jump to search

Octagonal tegum | |
---|---|

Rank | 3 |

Type | Uniform dual |

Notation | |

Bowers style acronym | Ot |

Coxeter diagram | m2m8o |

Elements | |

Faces | 16 isosceles triangles |

Edges | 8+16 |

Vertices | 2+8 |

Vertex figure | 2 octagons, 8 squares |

Measures (edge length 1) | |

Dihedral angle | |

Central density | 1 |

Number of external pieces | 16 |

Level of complexity | 3 |

Related polytopes | |

Army | Ot |

Regiment | Ot |

Dual | Octagonal prism |

Conjugate | Octagrammic tegum |

Abstract & topological properties | |

Flag count | 96 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | I_{2}(8)×A_{1}, order 32 |

Convex | Yes |

Nature | Tame |

The **octagonal tegum**, also called an **octagonal bipyramid**, is a tegum with an octagon as the midsection, constructed as the dual of an octagonal prism. It has 16 isosceles triangles as faces, with 2 order–8 and 8 order–4 vertices.

In the variant obtained as the dual of a uniform octagonal prism, the side edges are times the length of the edges of the base octagon. Each face has apex angle and base angles . If the base octagon has edge length 1, its height is .

## External links[edit | edit source]

- Wikipedia contributors. "Octagonal bipyramid".
- Hi.gher.Space Wiki Contributors. "Octagonal bipyramid".

- McCooey, David. "Octagonal Dipyramid"