Symmetry

Symmetry is a characteristic of geometrical shapes, equations, and other objects; we say that such an object is symmetric with respect to a given operation if this operation, when applied to the object, does not appear to change it.

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In 2D geometry the main kinds of symmetry of interest are with respect to the basic Euclidean plane isometries: translations, rotations, reflections, and glide reflections.

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The set of all symmetry operations considered, on all objects in a set X, can be modelled as a group action g : G × X → X, where the image of g in G and x in X is written as g·x. If, for some g, g·x = y then x and y are said to be symmetric to each other. For each object x, operations g for which g·x = x form a group, the symmetry group of the object, a subgroup of G. If the symmetry group of x is not the trivial group then x is said to be symmetric.

Translations: :For the act of conversion between languages, see Translation. For other uses of the word "translation', see Translation (disambiguation)....

Rotations: REDIRECT Rotation...

Reflections: Reflections Interactive is a video game developer based in Newcastle, UK."Reflections" is a music album composed by Manos Hadjidakis in 1969 and performed by the New York Rock & Roll Ensemble."Reflections" is also the name of a hit song recorded by Diana Ross & The Supremes in 1967, and the resulti...

Symmetry related Images and Photos (experimental)

Winter Symmetry	Classical Symmetry IV	Symmetry in Black IV	Classical Symmetry III
Keane: Perfect Symmetry	Keane: Perfect Symmetry	Studies in Symmetry VI	Studies in Symmetry III