# Pentagonal symmetry

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### Convex polytopes with H

Pentagonal symmetry | |
---|---|

Rank | 2 |

Space | Spherical |

Order | 10 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 5 × A_{1}×I |

Related polytopes | |

Omnitruncate | Dipentagon |

**Pentagonal symmetry**, also known as **peggic symmetry** and notated as **H _{2}**, is a 2D spherical Coxeter group. It is the symmetry group of the pentagon, with 5 rotation and 5 reflection elements.

### Subgroups[edit | edit source]

- Chiral pentagonal symmetry (maximal)
- Reflection symmetry (maximal)
- Identity symmetry

### Convex polytopes with H_{2} symmetry[edit | edit source]

- Pentagon (regular)
- Dipentagon (isogonal)/Pentambus (isotopic)