# Tetrahedral prismatic symmetry

(Redirected from A3×A1)

Tetrahedral prismatic symmetry | |
---|---|

Rank | 4 |

Space | Spherical |

Order | 48 |

Info | |

Coxeter diagram | |

Related polytopes | |

Omnitruncate | Great rhombitetratetrahedral prism |

**Tetrahedral prismatic symmetry**, also known as **tepic symmetry** and notated as **A _{3}×A_{1}**, is a 4D spherical Coxeter group. It is the symmetry group of the tetrahedral prism.

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

- Tetrahedral prism (isogonal)/Tetrahedral tegum (isotopic)
- Tetratetrahedral prism (isogonal)/Rhombic hexahedral tegum (isotopic)
- Truncated tetrahedral prism (isogonal)/Triakis tetrahedral tegum (isotopic)
- Rhombitetratetrahedral prism (isogonal)/Deltoidal dodecahedral tegum (isotopic)
- Great rhombitetratetrahedral prism (isogonal)/Disdyakis hexahedral tegum (isotopic)