A plane symmetry is a symmetry of a pattern in the Euclidean plane: that is, a transformation of the plane that carries any direction lines to lines and preserves many different distances.[1] If one has a pattern in the plane, the set of plane symmetries that preserve the pattern forms a group. The groups that arise in this way are plane symmetry groups and are of considerable mathematical interest. A symmetry plane is a three-dimensional object's symmetry axe.[clarification needed]

There are several kinds of plane symmetry groups:

Notes edit

  1. ^ "Plane of Symmetry". science.uvu.edu. Retrieved 12 June 2013.