# Dodecahedral prismatic symmetry

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Dodecahedral prismatic symmetry | |
---|---|

Rank | 4 |

Space | Spherical |

Order | 240 |

Info | |

Coxeter diagram | |

Related polytopes | |

Omnitruncate | Great rhombicosidodecahedral prism |

**Dodecahedral prismatic symmetry**, also known as **dopic symmetry** or **icosahedral prismatic symmetry** and notated as **H _{3}×A_{1}**, is a 4D spherical Coxeter group. It is the symmetry group of the dodecahedral prism and icosahedral prism.

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

- Dodecahedral prism (isogonal)/Icosahedral tegum (isotopic)
- Icosahedral prism (isogonal)/Dodecahedral tegum (isotopic)
- Icosidodecahedral prism (isogonal)/Rhombic triacontahedral tegum (isotopic)
- Truncated dodecahedral prism (isogonal)/Triakis icosahedral tegum (isotopic)
- Truncated icosahedral prism (isogonal)/Pentakis dodecahedral tegum (isotopic)
- Small rhombicosidodecahedral prism (isogonal)/Deltoidal hexecontahedral tegum (isotopic)
- Great rhombicosidodecahedral prism (isogonal)/Disdyakis triacontahedral tegum (isotopic)