# Decagonal symmetry

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### Convex polytopes with I

Decagonal symmetry | |
---|---|

Rank | 2 |

Space | Spherical |

Order | 20 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 10 × A_{1} |

Related polytopes | |

Omnitruncate | Didecagon |

**Decagonal symmetry**, also known as **deggic symmetry** and notated as **I _{2}(10)**, is a 2D spherical Coxeter group. It is the symmetry group of the decagon, with 10 rotation and 10 reflection elements.

### Subgroups[edit | edit source]

- Chiral decagonal symmetry (maximal)
- Pentagonal symmetry (maximal)
- Chiral pentagonal symmetry
- Rectangular symmetry (maximal)
- Inversion symmetry
- Reflection symmetry
- Identity symmetry