![]() 2.3 Symmetry as a unifying principle of geometry.Finally, a third perspective discusses symmetry in the humanities, covering its rich and varied use in history, architecture, art, and religion. In this context, symmetries underlie some of the most profound results of modern physics, including aspects of space and time. The second perspective describes symmetry as it relates to science and technology. The first is that of mathematics, in which symmetries are defined and categorized precisely. ![]() This article describes these notions of symmetry from three perspectives. as an aspect of abstract objects, theoretic models, language, music and even knowledge itself.through other kinds of functional transformations and.through geometric transformations such as scaling, reflection, and rotation.The "precise" notions of symmetry have various measures and operational definitions. The second meaning is a precise and well-defined concept of balance or "patterned self-similarity" that can be demonstrated or proved according to the rules of a formal system: by geometry, through physics or otherwise.Īlthough the meanings are distinguishable, in some contexts, both meanings of "symmetry" are related and discussed in parallel. The first is an imprecise sense of harmonious or aesthetically-pleasing proportionality and balance such that it reflects beauty or perfection. Symmetry generally conveys two primary meanings. 1487) is often used as a representation of symmetry in the human body and, by extension, the natural universe.
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