# Digonal prismatic symmetry

**Digonal prismatic symmetry**, also known as **brick symmetry** or **cuboidal symmetry** and notated as *K _{3}*, is a 3D spherical Coxeter group. It is the symmetry group of the cuboid or rectangular box, and appears as a subgroup of octahedral and icosahedral symmetries.

Digonal prismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 8 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 2 × K_{2}×I |

Related polytopes | |

Omnitruncate | Cuboid |

### Subgroups edit

### Convex polytopes with K_{3} symmetry
edit

- Cuboid (isogonal)/Rhombic tegum (isotopic)