# Square symmetry

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Square symmetry | |
---|---|

Rank | 2 |

Space | Spherical |

Order | 8 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 4 × A_{1} |

Related polytopes | |

Omnitruncate | Ditetragon |

**Square symmetry**, also notated as **B _{2}** or

**BC**, is a 2D spherical Coxeter group. It is the symmetry group of the square, with 4 rotation and 4 reflection elements.

_{2}### Subgroups[edit | edit source]

- Chiral square symmetry (normal, maximal)
- Rectangular symmetry x2 (normal, maximal)
- Inversion symmetry (normal)
- Reflection symmetry x2
- Identity symmetry (normal)

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

- Square (regular)
- Ditetragon (isogonal)/Tetrambus (isotopic)