# Prosquare prismatic symmetry

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Prosquare prismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 8 |

**Prosquare prismatic symmetry**, also known as **prosquippic symmetry** and notated **B _{2}+×A_{1}** or

**BC**, is a 3D spherical symmetry group. It is equivalent of the symmetry of a square prism if the bases are seen as having chiral rather than full square symmetry. The prism of any polygon with chiral square symmetry will have this as its symmetry group. It is a subgroup of octahedral symmetry.

_{2}+×A_{1}### Subgroups[edit | edit source]

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

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

- Square prism (isogonal)/Square tegum (isotopic)