What is Symmetry: Definition and 955 Discussions

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, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are intricately related, and hence are discussed together in this article.
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, including theoretic models, language, and music.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, which refers to the absence or a violation of symmetry.

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  1. Z

    The symmetry breaking in vacuum

    In Chapter 6 of the Antigravitation Engine Site, the symmetry breaking in vacuum is studied as follows. 11. The symmetry breaking in vacuum It can be known from Section 8 of this chapter that everywhere in vacuum there are non-present-time foggoids, whose gfm ball particles have a dominant...
  2. Loren Booda

    Radius of cosmological mass-energy symmetry?

    Starting at the microscopic entities we observe in our immediate neighborhood outward, then tracing mass-energy evolution from the universal horizon inward, can we determine where processes of both coincide in intermediate space? Our own Planck regions, quarks, protons, atoms, planets, stars...
  3. Loren Booda

    Black hole event horizon as surface of spacetime symmetry

    The spacetime geometry outside a black hole may be transformable through the event horizon as the black hole internal geometry, and conversely. Consider Hawking radiation with respect to black hole entropy. While one quantum escapes to universal infinity, the other approaches the...
  4. E

    Protein Symmetry - Good Links on the Topic

    Does anybody have any good links on protein symmetry?
  5. D

    Symmetry Breaking: Unveiling the Mysteries of the Universe

    Symmetry "breaking" Greetings ! I'd like to ask and possibly discuss questions about symmetry : 1. I heard that there is a 2% lacking symmetry in weak nuclear force reactions. Does this mean energy-conservation (and other physical laws) are violated ?! 2. Does the HUP possibly...
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