# Cubic prismatic symmetry

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Cubic prismatic symmetry | |
---|---|

Rank | 4 |

Space | Spherical |

Order | 96 |

Info | |

Coxeter diagram | |

Related polytopes | |

Omnitruncate | Great rhombicuboctahedral prism |

**Cubic prismatic symmetry**, also known as **cupic symmetry** or **octahedral prismatic symmetry** and notated **B _{3}×A_{1}** or

**BC**, is a 4D spherical Coxeter group. It is the symmetry group of the cubic prism and octahedral prism.

_{3}×A_{1}### Convex polytopes with B_{3}×A_{1} symmetry[edit | edit source]

- Cubic prism (isogonal)/Octahedral tegum (isotopic)
- Octahedral prism (isogonal)/Cubic tegum (isotopic)
- Cuboctahedral prism (isogonal)/Rhombic dodecahedral tegum (isotopic)
- Truncated cubic prism (isogonal)/Triakis octahedral tegum (isotopic)
- Truncated octahedral prism (isogonal)/Tetrakis hexahedral tegum (isotopic)
- Small rhombicuboctahedral prism (isogonal)/Deltoidal icositetrahedral tegum (isotopic)
- Great rhombicuboctahedral prism (isogonal)/Disdyakis dodecahedral tegum (isotopic)