# Hemitripod

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Hemitripod | |
---|---|

Rank | 2 |

Type | Semi-uniform |

Notation | |

Coxeter diagram | x3/2y |

Elements | |

Edges | 3+3 |

Vertices | 6 |

Vertex figure | Dyad |

Measures (Short edge length 1) | |

Circumradius | 1 |

Area | |

Perimeter | 9 |

Angle | 60° |

Related polytopes | |

Army | Hig |

Convex hull | Hexagon |

Abstract & topological properties | |

Flag count | 12 |

Orientable | Yes |

Properties | |

Symmetry | A_{2}, order 6 |

Convex | No |

Net count | 1 |

Nature | Tame |

The **hemitripod** is a non-convex semi-uniform hexagon. It can be thought of as a case of a tripod or a propeller tripod with the ratio between the lengths of the two types of edges exactly 2. More generally, it is a special ditrigon. All interior angles of a hemitripod measure 60°. It is a hemipolytope as three of its edges pass through the center.

## In vertex figures[edit | edit source]

The hemitripod appears as the vertex figure of a uniform planar tiling, the ditrigonary triangular-hemiapeirogonal tiling.