  We have done a statistical analysis of some properties of the contour lines
Im$(\zeta (s))$ = 0 of the Riemann zeta function. We find that this function is
broken up into strips whose average width on the critical line does not appear
to vary with height. We also compute the position of the primary zero for the
lowest 200 strips, and find that this probability distribution also appears to
be scale invariant.
