# Category:Dihedral Group D6

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This category contains examples of Dihedral Group D6.

The dihedral group $D_6$ is the symmetry group of the regular hexagon:

Let $\mathcal H = ABCDEF$ be a regular hexagon.

The various symmetry mappings of $\mathcal H$ are:

- The identity mapping $e$
- The rotations through multiples of $60 \degrees$
- The reflections in the indicated axes.

Let $\alpha$ denote rotation of $\mathcal H$ anticlockwise through $\dfrac \pi 3$ radians ($60 \degrees$).

Let $\beta$ denote reflection of $\mathcal H$ in the $AD$ axis.

The symmetries of $\mathcal H$ form the dihedral group $D_6$.

## Subcategories

This category has only the following subcategory.

### S

## Pages in category "Dihedral Group D6"

The following 2 pages are in this category, out of 2 total.