![]() Main article: Symmetry (geometry) The triskelion has 3-fold rotational symmetry.Ī geometric shape or object is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion. The opposite of symmetry is asymmetry, which refers to the absence of symmetry. 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. 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. Although these two meanings of the word can sometimes be told apart, they are intricately related, and hence are discussed together in this article. 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. Lizard tiles by Ben Lawson.Symmetry (from Ancient Greek συμμετρία ( summetría) 'agreement in dimensions, due proportion, arrangement') in everyday life refers to a sense of harmonious and beautiful proportion and balance. Hexagonal and rhombic tessellations from Wikimedia Commons.
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