# Digonal antiprismatic symmetry

(Redirected from (BC2×A1)/2)

Digonal antiprismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 8 |

**Digonal antiprismatic symmetry**, also known as **dappic symmetry** and notated **(B _{2}×A_{1})/2**, is a 3D spherical symmetry group. It is the symmetry group of the tetragonal disphenoid and is the digonal member of the family of antiprismatic symmetries. It occurs as a subsymmetry of tetrahedral, octahedral, and icosahedral symmetries.

### Subgroups[edit | edit source]

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

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

- Tetragonal disphenoid (noble)
- Rectangular trapezoprism (isogonal)/Digonal scalenohedron (isotopic)