  Studying the structures (halos and galaxies) within the cosmic environments
(void, sheet, filament, and node) where they reside is an ongoing attempt in
cosmological studies. The link between the properties of structures and the
cosmic environments may help to unravel the nature of the dark sector of the
Universe. In this paper, we study the cosmic web environments from the spatial
pattern perspective in the context of $ \Lambda $CDM and $ \nu \Lambda $CDM as
an example of an extension to the vanilla model. To do this, we use the T-web
classification method and classify the cosmic environments for the catalogues
from the gevolution N-body simulations for $ \Lambda $CDM and $ \nu \Lambda
$CDM cosmology. Then, we compute the first nearest neighbour cumulative
distribution function, spherical contact cumulative distribution function, and
$ J$-function for every cosmic environment. In the context of the standard
model, the results indicate that these functions can differentiate the various
cosmic environments. In association with distinguishing between extensions of
the standard model of cosmologies, these functions within the cosmic
environment seem beneficial as a complementary probe.
