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1680s; see asymmetry + -ical. Other forms that have served as an adjective based on asymmetry are asymmetral (1620s), asymmetrous (1660s), and asymmetric (1875); only the last seems to have any currency. Related: Asymmetrically.
asymmetrical a·sym·met·ri·cal (ā'sĭ-mět'rĭ-kəl) or a·sym·met·ric (-rĭk)adj. Abbr. a Lacking symmetry between two or more like parts; not symmetrical.