# Pentadecagon

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Pentadecagon | |
---|---|

Rank | 2 |

Type | Regular |

Space | Spherical |

Notation | |

Bowers style acronym | Ped |

Coxeter diagram | x15o |

Schläfli symbol | {15} |

Elements | |

Edges | 15 |

Vertices | 15 |

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

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Area | |

Angle | 156° |

Central density | 1 |

Number of pieces | 15 |

Level of complexity | 1 |

Related polytopes | |

Army | Ped |

Dual | Pentadecagon |

Conjugates | Small pentadecagram, Pentadecagram, Great pentadecagram |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **pentadecagon** is a polygon with 15 sides. A regular pentadecagon has equal sides and equal angles.

## Stellations[edit | edit source]

- Small pentadecagram
- Tripentagon
*(compound of 3 pentagons)* - Pentadecagram
- Pentatriangle
*(compound of 5 triangles)* - Tripentagram
*(compound of 3 pentagrams)* - Great pentadecagram

## External links[edit | edit source]

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

- Wikipedia Contributors. "Pentadecagon".