# Stellated decagram

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Stellated decagram | |
---|---|

Rank | 2 |

Type | Regular |

Space | Spherical |

Notation | |

Bowers style acronym | Sadag |

Schläfli symbol | {10/4} |

Elements | |

Components | 2 pentagrams |

Edges | 10 |

Vertices | 10 |

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

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Area | |

Angle | 36° |

Central density | 4 |

Number of pieces | 20 |

Level of complexity | 2 |

Related polytopes | |

Army | Dec |

Dual | Stellated decagram |

Conjugate | Stellated decagon |

Convex core | Decagon |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

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

Convex | No |

Nature | Tame |

The **stellated decagram** or **sadag** is a polygon compound composed of two pentagrams. As such it has 10 edges and 10 vertices.

It is the third stellation of the decagon.

Its quotient prismatic equivalent is the pentagrammic retroprism, which is three-dimensional.

## Vertex coordinates[edit | edit source]

Coordinates for the vertices of a stellated decagram 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".