anti symmetry

sym·me·try

[sim-i-tree]
noun, plural sym·me·tries.
1.
the correspondence in size, form, and arrangement of parts on opposite sides of a plane, line, or point; regularity of form or arrangement in terms of like, reciprocal, or corresponding parts.
2.
the proper or due proportion of the parts of a body or whole to one another with regard to size and form; excellence of proportion.
3.
beauty based on or characterized by such excellence of proportion.
4.
Mathematics.
a.
a geometrical or other regularity that is possessed by a mathematical object and is characterized by the operations that leave the object invariant: A circle has rotational symmetry and reflection symmetry.
b.
a rotation or translation of a plane figure that leaves the figure unchanged although its position may be altered.
5.
Physics. a property of a physical system that is unaffected by certain mathematical transformations as, for example, the work done by gravity on an object, which is not affected by any change in the position from which the potential energy of the object is measured.

Origin:
1535–45; < Latin symmetria < Greek symmetría commensurateness. See sym-, -metry

non·sym·me·try, noun, plural non·sym·me·tries.

1. consonance, concord, correspondence. Symmetry, balance, proportion, harmony are terms used, particularly in the arts, to denote qualities based upon a correspondence or agreement, usually pleasing, among the parts of a whole. Symmetry implies either a quantitative equality of parts ( the perfect symmetry of pairs of matched columns ) or a unified system of subordinate parts: the symmetry of a well-ordered musical composition. Balance implies equality of parts, often as a means of emphasis: Balance in sentences may emphasize the contrast in ideas. Proportion depends less upon equality of parts than upon that agreement among them that is determined by their relation to a whole: The dimensions of the room gave a feeling of right proportion. Harmony a technical term in music, may also suggest the pleasing quality that arises from a just ordering of parts in other forms of artistic composition: harmony of line, color, mass, phrase, ideas.

1. asymmetry.
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Based on the Random House Dictionary, © Random House, Inc. 2013.
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 an extraordinary or unusual thing, person, or event; an exceptional example or instance.
 a chattering or flighty, light-headed person.
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World English Dictionary
 symmetry (ˈsɪmɪtrɪ) —n , pl -tries 1. similarity, correspondence, or balance among systems or parts of a system 2. maths See symmetrical an exact correspondence in position or form about a given point, line, or plane 3. beauty or harmony of form based on a proportionate arrangement of parts 4. physics the independence of a property with respect to direction; isotropy [C16: from Latin symmetria, from Greek summetria proportion, from syn- + metron measure]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

symmetry
1563, "relation of parts, proportion," from L. symmetria, from Gk. symmetria "agreement in dimensions, due proportion, arrangement," from symmetros "having a common measure, even, proportionate," from syn- "together" + metron "meter" (see meter (2)). Meaning "harmonic arrangement
of parts" first recorded 1599. Symmetrical is recorded from 1751. Symmetrophobia is from 1809, supposed to be evident in Egyptian temples and Japanese art.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

symmetry sym·me·try (sĭm'ĭ-trē)
n.
Exact correspondence of form and constituent configuration on opposite sides of a dividing line or plane or about a center or an axis.

The American Heritage® Stedman's Medical Dictionary
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American Heritage
Science Dictionary
 symmetry   (sĭm'ĭ-trē)  Pronunciation Key  An exact matching of form and arrangement of parts on opposite sides of a boundary, such as a plane or line, or around a central point or axis. Physics See invariance.
The American Heritage® Science Dictionary
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American Heritage
Cultural Dictionary

symmetry definition

In geometry, the equivalence, point for point, of a figure on opposite sides of a point, line, or plane.

The American Heritage® New Dictionary of Cultural Literacy, Third Edition