# Triangular antiprismatic symmetry

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### Convex polytopes with (G

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]

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

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

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