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:
“The virtue of dress rehearsals is that they are a free show for a select group of artists and friends of the author, and where for one unique evening the audience is almost expurgated of idiots.”
—Alfred Jarry (1873–1907)