# Square prismatic symmetry

(Redirected from BC2×A1)

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Square prismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 16 |

Info | |

Coxeter diagram | |

Elements | |

Axes | 1 × BC_{2}×A_{1}, 4 × K_{2}×I |

Related polytopes | |

Omnitruncate | Ditetragonal prism |

**Square prismatic symmetry**, also known as **squippic symmetry** and notated **B _{2}×A_{1}** or

**BC**, is a 3D spherical Coxeter group. It is the symmetry group of the square prism and is a subgroup of octahedral symmetry.

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

- (B
_{2}×A_{1})/2 (maximal) - (B
_{2}×A_{1})+ (maximal) - B
_{2}×I (maximal) - (B
_{2}+×A_{1})/2 - B
_{2}+×A_{1}(maximal) - B
_{2}+×I - K
_{3}(maximal) - K
_{3}+ - K
_{2}×I - K
_{2}+×A_{1} - K
_{2}+×I - ±(I×I×I)
- A
_{1}×I×I - I×I×I

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

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