# Pentadecagram

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Pentadecagram | |
---|---|

Rank | 2 |

Type | Regular |

Notation | |

Bowers style acronym | Pad |

Coxeter diagram | x15/4o |

Schläfli symbol | {15/4} |

Elements | |

Edges | 15 |

Vertices | 15 |

Vertex figure | Dyad, length (1-√5+√30+6√5)/4 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Area | |

Angle | 84° |

Central density | 4 |

Number of external pieces | 30 |

Level of complexity | 2 |

Related polytopes | |

Army | Ped, edge length |

Dual | Pentadecagram |

Conjugates | Pentadecagon, Small pentadecagram, Great pentadecagram |

Convex core | Pentadecagon |

Abstract & topological properties | |

Flag count | 30 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(15), order 30 |

Convex | No |

Nature | Tame |

The **pentadecagram**, or **pad**, is a non-convex polygon with 15 sides. It's created by taking the third stellation]] of a pentadecagon. A regular pentadecagram has equal sides and equal angles.

It is one of three regular 15-sided star polygons, the other two being the small pentadecagram and the great pentadecagram.

## External links[edit | edit source]

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

- Wikipedia contributors. "Pentadecagram".