  Assemblies of anisotropic particles commonly appear in studies of active
many-body systems. However, in two dimensions, the geometric ramifications of
the finite density of such objects are not entirely understood. To fully
characterize these effects, we perform an in-depth study of random assemblies
generated by a slow compression of frictionless elliptical particles. The
obtained configurations are then analysed using the Set Voronoi tessellation
which takes the particle shape into the account. Not only that we analyse most
scalar and vectorial morphological measures, which are commonly discussed in
the literature or which have been recently addressed in experiments, but also
systematically explore the correlations between them. While in a limited range
of parameters similarities with findings in 3D assemblies could be identified,
important differences are found when a broad range of aspect ratios and packing
fractions are considered. The data discussed in this study should thus provide
a unique reference set such that geometric effects and differences from random
assemblies could be clearly identified in more complex systems, including ones
with soft and active particles that are typically found in biological systems.
