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Dihedral group
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes 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.
==Notation==
There are two competing notations for the dihedral group associated to a polygon with ''n'' sides. In geometry the group is denoted D''n'', while in algebra the same group is denoted by D2''n'' to indicate the number of elements. Coxeter notation is another notation, denoting the reflectional dihedral symmetry as (), order 2''n'', and rotational dihedral symmetry as ()+, order ''n''. Orbifold notation gives the reflective symmetry as
*''n''• and rotational symmetry as ''n''•.
In this article, D''n'' (and sometimes Dih''n'') refers to the symmetries of a regular polygon with ''n'' sides.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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