Symmetry Groups of the Plane

Abstract

There are many kinds of symmetry, from symmetry in math to symmetry in art to symmetry in the natural world. The kind that has always interested me is that which can be found in some of the works of M.C. Escher, the Alhambra, and elsewhere. This variation of symmetry is referred to as the symmetry groups of the plane, and they may be more familiar than expected.