# Tripod

Tripod | |
---|---|

Rank | 2 |

Type | Semi-uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Tripod |

Coxeter diagram | x3/2y |

Elements | |

Edges | 3+3 |

Vertices | 6 |

Vertex figure | Dyad |

Measures (edge lengths a, b) | |

Circumradius | |

Area | |

Angle | 60° |

Related polytopes | |

Army | Dit |

Dual | Triambus |

Conjugate | Tripod |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | A_{2}, order 6 |

Convex | No |

Nature | Tame |

The **tripod** is a non-convex semi-uniform hexagon. As such it has 6 sides that alternate between two edge lengths, with each vertex joining one side of each length. All interior angles of a tripod measure 60°.

If the two edge lengths are equal, then the figure degenerates into something that looks like a double-cover of an equilateral triangle, with pairs of coinciding vertices and edges. However, in any other case the shape is a fully valid polygon.

Another related polygon that has the name "tripod" is the propeller tripod. These two polygons share many of their properties, but while a (non-propeller) tripod has a density of 1, the propeller tripod has a density of 2.

## In vertex figures[edit | edit source]

The tripod appears as a vertex figure in one uniform polyhedron, namely the great ditrigonal icosidodecahedron. This tripod has edge lengths of 1 and (1+√5)/2.

## External links[edit | edit source]

- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".