Category:Symmetry Groups

This category contains results about Symmetry Groups.
Definitions specific to this category can be found in Definitions/Symmetry Groups.

Let $P$ be a geometric figure.

Let $S_P$ be the set of all symmetries of $P$.

Let $\struct {S_P, \circ}$ be the algebraic structure such that $\circ$ denotes the composition of mappings.

Then $\struct {S_P, \circ}$ is called the symmetry group of $P$.