# Triangular antiprismatic symmetry

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Triangular antiprismatic symmetry | |
---|---|

Rank | 3 |

Space | Spherical |

Order | 12 |

**Triangular antiprismatic symmetry**, also known as **trappic symmetry** and notated **(G _{2}×A_{1})/2**, is a 3D spherical symmetry group. It is the symmetry group of the triangular antiprism and is a subgroup of octahedral and icosahedral symmetry.

### Subgroups[edit | edit source]

- Protriangular antiprismatic symmetry (maximal)
- Chiral triangular prismatic symmetry (maximal)
- Triangular pyramidal symmetry (maximal)
- Chiral triangular pyramidal symmetry
- Prodigonal prismatic symmetry (maximal)
- Chiral digonal pyramidal symmetry
- Inversion symmetry
- Reflection symmetry
- Identity symmetry

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

- Triangular antiprism (isogonal)/Triangular antitegum (isotopic)
- Ditrigonal trapezoprism (isogonal)/Triangular scalenohedron (isotopic)