# 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 pieces | 24 |

Level of complexity | 2 |

Related polytopes | |

Army | Dog |

Dual | Stellated dodecagon |

Conjugate | Stellated dodecagon |

Convex core | Dodecagon |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

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[edit | edit source]

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

## External links[edit | edit source]

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