Dis-symmetry is a word which refers to the lack of symmetry or balance in something. Synonyms for this word can include asymmetry, disproportion, imbalance, inequality, and disproportionateness. Asymmetry refers to the lack of symmetry between two sides or parts of something. Disproportion and disproportionateness both refer to something being disproportionate or unequal in size or amount. Imbalance refers to something being out of balance or not level. Finally, inequality refers to something being unequal or not fair. When looking to use a synonym for dis-symmetry, consider the context and tone of your writing to determine which word will best convey your intended meaning.