What is Symmetry ?

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a figure which overlaps its another side is known as symmetry

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Symmetry(fromGreekσυμμετρίαsymmetria"agreement in dimensions, due proportion, arrangement")[1]has two meanings. The first is a vague sense of harmonious and beautiful proportion and balance.[2][3]The second is an exact mathematical "patterned self-similarity" that can be demonstrated with the rules of aformal system, such asgeometryorphysics.

Although these two meanings of "symmetry" can sometimes be told apart, they are related, so they are here discussed together.[3]

Mathematical symmetry may be observed

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  • with respect to the passage oftime;
  • as aspatial relationship;
  • through geometrictransformationssuch asscaling,reflection, androtation;
  • through other kinds of functional transformations;[4]and
  • as an aspect ofabstract objects,theoretic models,language,musicand evenknowledgeitself.[5][6]

This article describes these notions of symmetry from four perspectives. The first is symmetry ingeometry, which is the most familiar type of symmetry for many people. The second is the more general meaning of symmetry inmathematicsas a whole. The third describes symmetry as it relates toscienceandtechnology. In this context, symmetries underlie some of the most profound results found in modernphysics, including aspects ofspace and time. The fourth discusses symmetry in thehumanities, covering its rich and varied use inhistory,architecture,art, andreligion.

The opposite of symmetry isasymmetry.

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Symmetryhas two meanings. The first is a vague sense of harmonious and beautiful proportion and balance.The second is an exact mathematical "patterned self-similarity" that can be demonstrated with the rules of aformal system, such asgeometryorphysics.

Although these two meanings of "symmetry" can sometimes be told apart, they are related, so they are here discussed together.

Mathematical symmetry may be observed

  • with respect to the passage oftime;
  • as aspatial relationship;
  • through geometrictransformationssuch asscaling,reflection, androtation;
  • through other kinds of functional trans formations;and
  • as an aspect ofabstract objects,theoretic models,language,musicand evenknowledgeitself.

This article describes these notions of symmetry from four perspectives. The first is symmetry ingeometry, which is the most familiar type of symmetry for many people. The second is the more general meaning of symmetry inmathematicsas a whole. The third describes symmetry as it relates toscienceandtechnology. In this context, symmetries underlie some of the most profound results found in modernphysics, including aspects ofspace and time. The fourth discusses symmetry in thehumanities, covering its rich and varied use inhistory,architecture,art, andreligion.

the opposite of symmetry is asymmetery.

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