# Octagonal pyramid

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Octagonal pyramid | |
---|---|

Rank | 3 |

Type | CRF |

Space | Hyperbolic |

Notation | |

Bowers style acronym | Oppy |

Coxeter diagram | ox8oo&#x |

Elements | |

Faces | 8 triangles, 1 octagon |

Edges | 8+8 |

Vertices | 1+8 |

Vertex figures | 1 octagon, edge length 1 |

8 isosceles triangles, edge lengths 1, 1, √2+√2 | |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Height | |

Related polytopes | |

Army | Oppy |

Regiment | Oppy |

Dual | Octagonal pyramid |

Abstract & topological properties | |

Flag count | 64 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | I_{2}×I, order 16 |

Convex | Yes |

Net count | 144 |

The **octagonal pyramid**, or **oppy**, is a pyramid with a octagonal base and 8 triangles as sides. The version with equilateral triangles as sides is hyperbolic, and is the vertex-first cap of the order-8 triangular tiling. Other variants with isosceles triangles as sides exist, that can be embedded in 3D euclidean space.