# Stellated decagon

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Stellated decagon | |
---|---|

Rank | 2 |

Type | Regular |

Space | Spherical |

Notation | |

Bowers style acronym | Sadeg |

Schläfli symbol | {10/2} |

Elements | |

Components | 2 pentagons |

Edges | 10 |

Vertices | 10 |

Vertex figure | Dyad, length (1+√5)/2 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Area | |

Angle | 108° |

Central density | 2 |

Number of pieces | 20 |

Level of complexity | 2 |

Related polytopes | |

Army | Dec |

Dual | Stellated decagon |

Conjugate | Stellated decagram |

Convex core | Decagon |

Abstract properties | |

Euler characteristic | 2 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(10), order 20 |

Convex | No |

Nature | Tame |

The **stellated decagon** or **sadeg** is a polygon compound composed of two pentagons. As such it has 10 edges and 10 vertices.

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

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

## Vertex coordinates[edit | edit source]

Coordinates for the vertices of a stellated decagon 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".