# Dihexagon

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Dihexagon | |
---|---|

Rank | 2 |

Type | Semi-uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Dihig |

Coxeter diagram | x6y |

Elements | |

Edges | 6+6 |

Vertices | 12 |

Vertex figure | Dyad |

Measures (edge lengths a, b) | |

Circumradius | |

Area | |

Angle | 150° |

Central density | 1 |

Related polytopes | |

Army | Dihig |

Dual | Hexambus |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | G_{2}, order 12 |

Convex | Yes |

Nature | Tame |

The **dihexagon** is a convex semi-uniform dodecagon. As such it has 12 sides that alternate between two edge lengths, with each vertex joining one side of each length. All interior angles of a dihexagon measure 150°. If the side lengths are equal, the result is the regular dodecagon.

## Vertex Coordinates[edit | edit source]

The vertex coordinates of a dihexagon with side lengths *a* and *b* are given by

For retrograde dihexagons, *a* is negative.