# Prododecahedral prismatic symmetry

**Prododecahedral prismatic symmetry**, also known as **prodopic symmetry** or **proicosahedral prismatic symmetry** and notated as **H _{3}+×A_{1}**, is a 4D spherical symmetry group. It is the symmetry group of the snub dodecahedral prism.

Prododecahedral prismatic symmetry | |
---|---|

Rank | 4 |

Space | Spherical |

Order | 120 |

### Convex polytopes with H_{3}+×A_{1} symmetry
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- 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)
- Snub dodecahedral prism (isogonal)/Pentagonal hexecontahedral tegum (isotopic)