# Pentagonal duoprismatic symmetry

**Pentagonal duoprismatic symmetry**, notated as **H _{2}≀S_{2}**, is a 4D spherical symmetry group. It is the symmetry group of the pentagonal duoprism and pentagonal duotegum.

Pentagonal duoprismatic symmetry | |
---|---|

Rank | 4 |

Space | Spherical |

Order | 200 |

### Convex polytopes with H_{2}≀S_{2} symmetryEdit

- Pentagonal duoprism (noble)/Pentagonal duotegum (noble)
- Rectified pentagonal duoprism (isogonal)/Joined pentagonal duoprism (isotopic)
- Truncated pentagonal duoprism (isogonal)/Tetrakis pentagonal duotegum (isotopic)
- Dipentagonal duoprism (isogonal)/Pentambic duotegum (isotopic)
- Dipentagonal duotegum (isogonal)/Pentambic duoprism (isotopic)
- Pentagonal ditetragoltriate (isogonal)/Pentagonal tetrambitriate (isotopic)
- Dipentagonal ditetragoltriate (isogonal)/Pentambic tetrambitriate (isotopic)
- Pentagonal antiditetragoltriate (isogonal)/Pentagonal antitetrambitriate (isotopic)
- Pentagonal duoexpandoprism (isogonal)/Pentagonal duoexpandotegum (isotopic)
- Pentagonal duotruncatoprism (isogonal)/Pentagonal duotruncatotegum (isotopic)
- Pentagonal duoantifrustoprism (isogonal)/Pentagonal duoantifrustotegum (isotopic)
- Pentagonal duotruncatoalterprism (isogonal)/Pentagonal duotruncatoaltertegum (isotopic)
- Pentagonal duotransitionalterprism (isogonal)/Pentagonal duotransitionaltertegum (isotopic)
- Pentagonal truncatoprismantifrustoid (isogonal)/Pentagonal apiculatotegmocrystalloid (isotopic)
- Ditrigonal duotransitionalterprism (isogonal)/Pentambic duotransitionaltertegum (isotopic)