  In this paper, we analyze the nontrivial zeros of the Riemann zeta-function
using the multidimensional scaling (MDS) algorithm and computational
visualization features. The nontrivial zeros of the Riemann zeta-function as
well as the vectors with several neighboring zeros are interpreted as the basic
elements (points or objects) of a data set. Then we employ a variety of
different metrics, such as the Euclidean and Lorentzian ones, to calculate the
distances between the objects. The set of the calculated distances is then
processed by the MDS algorithm that produces the loci, organized according to
the objects features. Then they are analyzed from the perspective of the
emerging patterns. Surprisingly, in the case of the Lorentzian metric, this
procedure leads to the very clear periodical structures both in the case of the
objects in form of the single nontrivial zeros of the Riemann zeta-function and
in the case of the vectors with a given number of neighboring zeros. The other
tested metrics do not produce such periodical structures, but rather chaotic
ones. In this paper, we restrict ourselves to numerical experiments and the
visualization of the produced results. An analytical explanation of the
obtained periodical structures is an open problem worth for investigation by
the experts in the analytical number theory.
