In mathematics, a dihedral group is the group of symmetries of a regular polygon, including both rotations and reflections. Dihedral groups are among the simplest examples of finite groups, and they play an important role in group theory, geometry, and chemistry. It is well-known and quite trivial to prove that a group generated by two involutions is a dihedral group.
See also: Dihedral symmetry in three dimensionsRead more about Dihedral Group: Notation, Small Dihedral Groups, The Dihedral Group As Symmetry Group in 2D and Rotation Group in 3D, Equivalent Definitions, Properties, Automorphism Group, Generalizations
Famous quotes containing the word group:
“Just as a person who is always asserting that he is too good-natured is the very one from whom to expect, on some occasion, the coldest and most unconcerned cruelty, so when any group sees itself as the bearer of civilization this very belief will betray it into behaving barbarously at the first opportunity.”
—Simone Weil (1910–1943)