Symmetry | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-25

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Symmetry


00:01:04 1 In mathematics
00:01:13 1.1 In geometry
00:02:35 1.2 In logic
00:03:03 1.3 Other areas of mathematics
00:03:55 2 In science and nature
00:04:05 2.1 In physics
00:05:18 2.2 In biology
00:06:34 2.3 In chemistry
00:07:24 3 In social interactions
00:08:25 4 In the arts
00:08:34 4.1 In architecture
00:09:29 4.2 In pottery and metal vessels
00:10:30 4.3 In quilts
00:10:52 4.4 In carpets and rugs
00:11:30 4.5 In music
00:11:49 4.5.1 Musical form
00:12:14 4.5.2 Pitch structures
00:14:08 4.5.3 Equivalency
00:14:26 4.6 In other arts and crafts
00:15:04 4.7 In aesthetics
00:15:34 4.8 In literature
00:15:57 5 See also



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SUMMARY
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Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, that an object is invariant to any of various transformations; including reflection, rotation or scaling.  Although these two meanings of "symmetry" can sometimes be told apart, they are related, so in this article they are discussed together.
Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, theoretic models, language, music and even knowledge itself.This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and in the arts, covering architecture, art and music.
The opposite of symmetry is asymmetry.