06.2 Symmetry and Invariance
6.2 Symmetry and Invariance Symmetry is the presence of transformations that preserve structure. An object has symmetry when it can be changed in some way while remaining the same for the purpose being studied. A square can be rotated or reflected and still remain a square. A graph can have its vertices renamed while preserving adjacency. A vector space can be described using different bases while preserving its linear structure....