symmetry

Also known as lack of asymmetry

thumb|upright=1.25|Symmetry (left) and asymmetry (right) thumb|upright=0.8|A spherical symmetry group with [[octahedral symmetry. The yellow region shows the fundamental domain.]] thumb|upright=0.8|A fractal-like shape that has [[reflectional symmetry, rotational symmetry and self-similarity, three forms of symmetry. This shape is obtained by a finite subdivision rule.]]

AI overview

Symmetry is a property where an object or pattern looks the same after certain transformations, such as being reflected, rotated, or subdivided in particular ways. It matters because it appears throughout nature and mathematics, helping scientists and mathematicians understand the structure and behavior of everything from crystals to fractals to fundamental forces.

AI-generated from the Wikipedia summary — may contain errors.

In the Vinony graph

Within Vinony's link graph, symmetry is referenced by 1,220 other articles, and connects out to parallelogram, M. C. Escher and fractal.

It is catalogued under topics including Artistic techniques, Concepts in aesthetics and Geometry.

Its subject is documented across 94 Wikipedia language editions.

Wikidata facts

Subclass of: property
Image: Brügge-Liebfrauenkirche-Prunkgräber DSC0166.jpg

Show 9 more facts

hashtag: Symmetry
characteristic of: locus
Commons category: Symmetry
topic's main category: Category:Symmetry
opposite of: asymmetry
Commons gallery: Symmetry
described by source: Granat Encyclopedic Dictionary
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
has effect: invariant

Sources (3)

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Encyclopedic overview

27 sections

Contents

In mathematics
In geometry
In logic
Other areas of mathematics
In science and nature
In physics
In biology
In chemistry
In psychology and neuroscience
In social interactions
In the arts
In architecture
In pottery and metal vessels
In carpets and rugs
In quilts
In other arts and crafts
In music
Musical form
Pitch structures
Equivalency
In aesthetics
In literature
See also
Explanatory notes
References
Further reading
External links

Symmetry () in everyday life refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an object that is invariant under some transformations, such as translation, reflection, rotation, or scaling. Although these two meanings of the word can sometimes be told apart, they are intricately related, and hence are discussed together in this article.

Excerpted from Wikipedia’s “symmetry” article, available under the CC BY-SA 4.0 licence.