  Patchy colloidal platelets with convex, non-spherical shapes have been
realized with different materials at length scales ranging from nanometers to
microns. While the assembly of these hard shapes tends to maximize edge-to-edge
contacts, as soon as a directional attraction is added -- by means of, e.g.,
specific ligands along the particle edges -- a competition between shape and
bonding anisotropy sets in, giving rise to a complex assembly scenario. We
focus here on a two-dimensional system of patchy rhombi, i.e., colloidal
platelets with a regular rhombic shape decorated with bonding sites along their
perimeter. Specifically, we consider rhombi with two patches, placed on either
opposite or adjacent edges. While for the first particle class only chains can
form, for the latter we observe the emergence of either chains or loops,
depending on the system parameters. According to the patch positioning --
classified in terms of different classes, topologies and distances from the
edge center -- we are able to characterize the emerging chain-like assemblies
in terms of length, packing abilities, flexibility properties and nematic
ordering.
