# Compound of five triangles

(Redirected from Pentatriangle)

Compound of five triangles | |
---|---|

Rank | 2 |

Type | Regular |

Notation | |

Bowers style acronym | Pentri |

Schläfli symbol | {15/5} |

Elements | |

Components | 5 triangles |

Edges | 15 |

Vertices | 15 |

Vertex figure | Dyad, length 1 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Area | |

Angle | 60° |

Central density | 5 |

Number of external pieces | 30 |

Level of complexity | 2 |

Related polytopes | |

Army | Ped, edge length |

Dual | Compound of five triangles |

Conjugate | Compound of five triangles |

Convex core | Pentadecagon |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | No |

Nature | Tame |

The **pentatriangle**, or **pentri**, is a polygon compound composed of 5 triangles. As such it has 15 edges and 15 vertices. It is the fourth stellation of the pentadecagon.

Its quotient prismatic equivalent is the triangular pentachoroorthowedge, which is five-dimensional.

## External links[edit | edit source]

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