# Stellated dodecagon

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Stellated dodecagon | |
---|---|

Rank | 2 |

Type | Regular |

Space | Spherical |

Notation | |

Bowers style acronym | Sedog |

Schläfli symbol | {12/2} |

Elements | |

Components | 2 hexagons |

Edges | 12 |

Vertices | 12 |

Vertex figure | Dyad, length √3 |

Measures (edge length 1) | |

Circumradius | 1 |

Inradius | |

Area | |

Angle | 120° |

Central density | 2 |

Number of external pieces | 24 |

Level of complexity | 2 |

Related polytopes | |

Army | Dog |

Dual | Stellated dodecagon |

Conjugate | Stellated dodecagon |

Convex core | Dodecagon |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(12), order 24 |

Convex | No |

Nature | Tame |

The **stellated dodecagon**, or **sedog**, is a polygon compound composed of two hexagons. As such it has 12 edges and 12 vertices.

As the name suggests, it is the first stellation of the dodecagon.

Its quotient prismatic equivalent is the hexagonal antiprism, which is three-dimensional.

## Vertex coordinates

Coordinates for the vertices of a stellated dodecagon of edge length 1 centered at the origin are given by:

## External links

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