  We employ a percolation technique developed for pointwise distributions to
analyze two-dimensional projections of the three northern and three southern
slices in the Las Campanas Redshift Survey. One of the goals of this paper is
to compare the visual impressions of the structure within distributions with
objective statistical analysis. We track the growth of the largest cluster as
an indicator of the network structure. We restrict our analysis to volume
limited subsamples in the regions from 200 to 400 Mpc/h where the number
density of galaxies is the highest. As a major result, we report a measurement
of an unambiguous signal, with high signal-to-noise ratio (at least at the
level of a few $\sigma$), indicating significant connectivity of the galaxy
distribution which in two dimensions is indicative of a filamentary
distribution. This is in general agreement with the visual impression and
typical for the standard theory of the large-scale structure formation based on
gravitational instability of initially Gaussian density fluctuations.
