# Heptagonal antitegum

The **heptagonal antitegum**, also known as the **heptagonal trapezohedron**, is an antitegum based on the heptagon, constructed as the dual of a heptagonal antiprism. It has 14 kites as faces, with 2 order–7 and 14 order–3 vertices.

Heptagonal antitegum | |
---|---|

Rank | 3 |

Type | Uniform dual |

Notation | |

Bowers style acronym | Heate |

Coxeter diagram | p2p14o () |

Conway notation | dA7 |

Elements | |

Faces | 14 kites |

Edges | 14+14 |

Vertices | 2+14 |

Vertex figure | 2 heptagons, 14 triangles |

Measures (edge length 1) | |

Dihedral angle | |

Central density | 1 |

Number of external pieces | 14 |

Level of complexity | 4 |

Related polytopes | |

Army | Heate |

Regiment | Heate |

Dual | Heptagonal antiprism |

Conjugate | Great heptagrammic antitegum |

Abstract & topological properties | |

Flag count | 112 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | (I_{2}(14)×A_{1})/2, order 28 |

Convex | Yes |

Nature | Tame |

Each face of this polyhedron is a kite with its longer edges times the length of its shorter edges.

## External links edit

- Wikipedia contributors. "Heptagonal trapezohedron".
- McCooey, David. "Heptagonal Trapezohedron"