Category:Symmetry Group of Square

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This category contains examples of Symmetry Group of Square.

Let $\SS = ABCD$ be a square.

SymmetryGroupSquare.png

The various symmetry mappings of $\SS$ are:

the identity mapping $e$
the rotations $r, r^2, r^3$ of $90^\circ, 180^\circ, 270^\circ$ around the center of $\SS$ anticlockwise respectively
the reflections $t_x$ and $t_y$ are reflections in the $x$ and $y$ axis respectively
the reflection $t_{AC}$ in the diagonal through vertices $A$ and $C$
the reflection $t_{BD}$ in the diagonal through vertices $B$ and $D$.

This center is known as the symmetry group of the square.

Pages in category "Symmetry Group of Square"

The following 3 pages are in this category, out of 3 total.