Symmetry Group

In abstract algebra, the symmetry group of an object (image, signal, etc.) is the group of all isometries under which the object is invariant with composition as the operation. It is a subgroup of the isometry group of the space concerned. If not stated otherwise, this article considers symmetry groups in Euclidean geometry, but the concept may also be studied in wider contexts; see below.

Read more about Symmetry GroupIntroduction, One Dimension, Two Dimensions, Three Dimensions, Symmetry Groups in General

Other articles related to "symmetry group, group, symmetry, groups, symmetry groups":

Symmetry Groups in General
... See also Automorphism In wider contexts, a symmetry group may be any kind of transformation group, or automorphism group ... Conversely, specifying the symmetry can define the structure, or at least clarify what we mean by an invariant, geometric language in which to discuss it this is ... For example, automorphism groups of certain models of finite geometries are not "symmetry groups" in the usual sense, although they preserve symmetry ...

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