# Hexagonal antitegum

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Hexagonal antitegum | |
---|---|

Rank | 3 |

Type | Uniform dual |

Notation | |

Bowers style acronym | Hate |

Coxeter diagram | p2p12o () |

Conway notation | dA6 |

Elements | |

Faces | 12 kites |

Edges | 12+12 |

Vertices | 2+12 |

Vertex figure | 2 hexagons, 12 triangles |

Measures (edge length 1) | |

Dihedral angle | |

Central density | 1 |

Number of external pieces | 12 |

Level of complexity | 4 |

Related polytopes | |

Army | Hate |

Regiment | Hate |

Dual | Hexagonal antiprism |

Conjugate | Hexagonal antitegum |

Abstract & topological properties | |

Flag count | 96 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | (I_{2}(12)×A_{1})/2, order 24 |

Convex | Yes |

Nature | Tame |

The **hexagonal antitegum**, also known as the **hexagonal trapezohedron**, is an antitegum based on the hexagon, constructed as the dual of a hexagonal antiprism. It has 12 kites as faces, with 2 order 6 and 12 order 3 vertices.

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

## External links[edit | edit source]

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