1680s; see asymmetry + -ical. Other forms that have served as an adjective based on asymmetry are asymmetral (1620s), asymmetrous (1660s), and asymmetric (1839); only the last seems to have any general currency. Related: Asymmetrically.
asymmetrical features
astute
Astyanax
asunder
asylee
asylum
asymmetrical
asymmetry
asymptomatic
asymptote
asymptotic
asynchronous