  In this work, we construct the algebra of differential forms with the cube of
exterior differential equal to zero on one-dimensional space. We prove that
this algebra is a graded q-differential algebra where q is a cubic root of
unity. Since the square of differential is not equal to zero the algebra of
differential forms is generated not only by the first order differential but
also by the second order differential of a coordinate. We study the bimodule
generated by this second order differential, and show that its structure is
similar to the structure of bimodule generated by the first order differential
in the case of anyonic line.
