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.

Read 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

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### Famous quotes containing the word group:

“I can’t think of a single supposedly Black issue that hasn’t wasted the original Black target *group* and then spread like the measles to outlying white experience.”

—June Jordan (b. 1936)