# Prosquare antiprismatic symmetry

Jump to navigation
Jump to search

Prosquare antiprismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 8 |

**Prosquare antiprismatic symmetry**, also known as **prosquappic symmetry** and notated **(I _{2}(8)+×A_{1})/2**, is a 3D spherical symmetry group. It is equivalent to the symmetry of a square antiprism if the bases are seen as having chiral square rather than full square symmetry.

### Subgroups[edit | edit source]

- Chiral square pyramidal symmetry (maximal)
- Chiral digonal prismatic symmetry (maximal)
- Chiral digonal pyramidal symmetry
- Reflection symmetry
- Identity symmetry

### Convex polytopes with (I_{2}(8)+×A_{1})/2 symmetry[edit | edit source]

- Square antiprism (isogonal)/Square antitegum (isotopic)