  The aim of the study presented here was the analysis of packings generated
according to random sequential adsorption protocol consisting of identical
Platonic and Archimedean solids. The computer simulations performed showed,
that the highest saturated packing fraction ${\theta}=0.40210(68)$ is reached
by packings built of truncated tetrahedra and the smallest one
${\theta}=0.35635(67)$ by packings composed of regular tetrahedra. The
propagation of translational and orientational order exhibited microstructural
propertied typically seen in RSA packings and the kinetics of 3 dimensional
packings growth were again observed not to be strictly connected with the
dimenstion of the configuration space. Moreover, a number of optimizations for
the RSA algorithm were described allowing generation of significantly larger
packings, which translated directly to a lower statistical error of the results
obtained. Additionally, the polyhedral order parameters provided can be
utilized in other studies regarding particles of polyhedral symmetry.
