  In this paper we study the supercluster - cluster morphological properties
using one of the largest ($2\times 512^{3}$ SPH+N-body simulations of large
scale structure formation in a $\Lambda$CDM model, based on the publicly
available code GADGET. We find that filamentary (prolate-like) shapes are the
dominant supercluster and cluster dark matter halo morphological feature, in
agreement with previous studies. However, the baryonic gas component of the
clusters is predominantly spherical. We investigate the alignment between
cluster halos (using either their DM or baryonic components) and their parent
supercluster major-axis orientation, finding that clusters show such a
preferential alignment. Combining the shape and the alignment statistics, we
also find that the amplitude of supercluster - cluster alignment increases
although weakly with supercluster filamentariness.
