It is shown that fractional Z(3)-superspace is isomorphic to the q -->
exp(2/3 pi i) limit of the braided line. Z(3)-supersymmetry is identi
fied as translational invariance along this line. The fractional trans
lation generator and its associated covariant derivative emerge as the
q --> exp(2/3 pi i) limits of the left and right derivatives from the
calculus on the braided line.