# Triangular symmetry

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Triangular symmetry | |
---|---|

Rank | 2 |

Space | Spherical |

Order | 6 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 3 × A_{1}×I |

Related polytopes | |

Omnitruncate | Ditrigon |

**Triangular symmetry**, also known as **triggic symmetry** and notated as **A _{2}**, is a 2D spherical Coxeter group. It is the symmetry group of the equilateral triangle, and has 3 rotation and 3 reflection elements.

### Subgroups[edit | edit source]

- Chiral triangular symmetry (normal, maximal)
- Reflection symmetry (maximal)
- Identity symmetry (normal)