Symmetry


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

~ Table of Content ~

Introduction
Mathematical model for symmetry
Reflection symmetry
Rotational symmetry
Translational symmetry
Glide reflection symmetry
Rotoreflection symmetry
Screw axis symmetry
Symmetry combinations
Color
Similarity vs. sameness
More on symmetry in geometry
Symmetry in mathematics
Symmetry in logic
Generalization of symmetry
Symmetry in physics
Symmetry in biology
Symmetry in chemistry
Symmetry in the arts and crafts
Symmetry in games and puzzles
Symmetry in literature
Symmetry in telecommunications
Moral symmetry
Related topics
External links
References
 
FR: Symétrie


 

~ Related Subjects ~

Group (1) - Group action (1) - Symmetry group (1) - Translation (disambiguation) (1) - Translation (1) - Translations (1) - Euclidean plane isometries (1) - Rotations (1) - Glide reflection (1) - Reflections (1) -
 

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