# Symmetry Group

A symmetry group is a group of symmetry-preserving operations, i.e., rotations, reflections, and inversions.

Symmetry group is a college-level concept that would be first encountered in an abstract algebra course covering group theory.

### Examples

Dihedral Group: | The dihedral group of order n>i is the symmetry group for a regular polygon with n sides. |

### Prerequisites

Group: | A mathematical group is a set of elements and a binary operation that together satisfy the four fundamental properties of closure, associativity, the identity property, and the inverse property. |