# Pentagonal prismatic symmetry

(Redirected from H2×A1)

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

Rank | 3 |

Space | Spherical |

Order | 20 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 1 × H_{2}×A_{1}, 5 × K_{2}×I |

Related polytopes | |

Omnitruncate | Dipentagonal prism |

**Pentagonal prismatic symmetry**, also known as **pippic symmetry** and notated as **H _{2}×A_{1}**, is a 3D spherical Coxeter group. It is the symmetry group of the pentagonal prism.

### Subgroups[edit | edit source]

- Propentagonal prismatic symmetry (maximal)
- Chiral pentagonal prismatic symmetry (maximal)
- Pentagonal pyramidal symmetry (maximal)
- Chiral pentagonal pyramidal symmetry
- Rectangular pyramidal symmetry (maximal)
- Chiral digonal pyramidal symmetry
- Reflection symmetry
- Identity symmetry

### Convex polytopes with H_{2}×A_{1} symmetry[edit | edit source]

- Pentagonal prism (isogonal)/Pentagonal tegum (isotopic)
- Dipentagonal prism (isogonal)/Pentambic tegum (isotopic)