# Heptagonal pyramid

The **heptagonal pyramid**, or **heppy**, is a pyramid with a heptagonal base and 7 triangles as sides. The version with equilateral triangles as sides is hyperbolic, and is the vertex-first cap of the order-7 triangular tiling. Other variants with isosceles triangles as sides exist, that can be placed in 3D Euclidean space.

Heptagonal pyramid | |
---|---|

Rank | 3 |

Type | CRF |

Space | Hyperbolic |

Notation | |

Bowers style acronym | Heppy |

Coxeter diagram | ox7oo&#x |

Elements | |

Faces | 7 triangles, 1 heptagon |

Edges | 7+7 |

Vertices | 1+7 |

Vertex figures | 1 heptagon, edge length 1 |

7 isosceles triangles, edge lengths 1, 1, 2cos(π/7) | |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Height | |

Related polytopes | |

Army | Heppy |

Regiment | Heppy |

Dual | Heptagonal pyramid |

Abstract & topological properties | |

Flag count | 56 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | I_{2}(7)×I, order 14 |

Convex | Yes |

Net count | 64 |