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Symmetry group

The symmetry group of an object (image, signal, etc., e.g. in 1D, 2D or 3D) is the group of all isometries under which it is invariant with composition as the operation. It is a subgroup of the isometry group of the space concerned.

Wikipedia and Wikis

Symmetry group - Wikipedia
http://en.wikipedia.org/wiki/Symmetry_group

Other

Tetrahedral Group at Mathworld
http://mathworld.wolfram.com/TetrahedralGroup.html
Overview of the 32 crystallographic point groups
http://newton.ex.ac.uk/research/qsystems/people/go ...
pattern groups
http://log24.com/theory/patt.html
Symmetry Group at Mathworld
http://mathworld.wolfram.com/SymmetryGroup.html

Keywords and Synonyms

Symmetry group, Transformation group, Discrete symmetry group, Symmetry groups, Point symmetry, List of two dimensional symmetry groups

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