a·sym·me·try

[ey-sim-i-tree]
noun
the quality or state of being asymmetric.

Origin:
1645–55; < Greek asymmetría lack of proportion. See a-6, symmetry

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Based on the Random House Dictionary, © Random House, Inc. 2013.
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Collins
World English Dictionary
asymmetry (æˈsɪmɪtrɪ, eɪ-) [Click for IPA pronunciation guide]
 
n
lack or absence of symmetry in spatial arrangements or in mathematical or logical relations

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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00:10
Asymmetry is always a great word to know.
So is slumgullion. Does it mean:
a stew of meat, vegetables, potatoes, etc.
a children's mummer's parade, as on the Fourth of July, with prizes for the best costumes.
Etymonline
Word Origin & History

asymmetry
1650s, "want of symmetry or proportion," from Gk. asymmetria, from asymmetros, from a- "not" + symmetros "commensurable."
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

asymmetry a·sym·me·try (ā-sĭm'ĭ-trē)
n.
Disproportion between two or more like parts; lack of symmetry.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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Example sentences
Combines empirical and clinical research on brain asymmetry with theoretical
  perspectives.
The asymmetry causes flyers to lose speed as soon as they start to turn.
Once upon a time, he had some useful insights on information asymmetry.
Last season, he got carried away with architecture and asymmetry.
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