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Definition of asymmetry : 1. Incommensurability.
2. Want of symmetry, or proportion between the parts of a thing, esp. want of bilateral symmetry.

Synonyms:

roughness, imbalance, smooth, straight, unbalance, jaggedness, instability, dissymmetry

lopsidedness

difference, diversity, distinctness, disparity, aberration, disunity, dissimilarity, discrepancy, contrast, contradiction, variance, mismatch, divergence, variety, clash, counterpoint, dissemblance, deviation, inequality, variation, non-uniformity, conflict, abnormality, distinction

fluctuation, capriciousness, jerkiness, inconstancy, intermittence, unevenness, eccentricity, fitfulness, variability

crookedness, contortion, irregularity, disfigurement, freakishness, distortion, corruption, flaw, deformity, bend, perversity

Usage examples:

• For the theoretician such an asymmetry in the theoretical structure, with no corresponding asymmetry in the system of experience, is intolerable. - "Sidelights on Relativity", Albert Einstein.
• The first of these is that this much- talked- of asymmetry may be nothing other than inferior or careless artistic work. - "Roman Women Woman: In All Ages and in All Countries, Volume 2 (of 10)", Alfred Brittain.