  Using Monte Carlo simulations, we study the assembly of colloidal particles
interacting via isotropic core-corona potentials in two dimensions and confined
in a circular box. We explore the structural variety at low temperatures as
function of the number of particles (N) and the size of the confining box and
find a rich variety of patterns that are not observed in unconfined flat space.
For a small number of particles (N<=6), we identify the zero-temperature
minimal energy configurations at a given box size and we construct the phase
diagram as function of temperature and box radius for the specific case of N=4.
When the number of particles is large (N>=100), we distinguish different
regimes that appear in route towards close packing configurations as the box
size decreases. These regimes are characterized by the increase in the number
of branching points and their coordination number. In contrast to the case of
confined hard disks, we obtain open structures with unexpected highly
anisotropic character in spite of the isotropy of the interactions and of the
confinement. Our findings show that confined core-corona particles can be a
suitable system to engineer particles with highly complex internal structure
that may serve as building blocks in hierarchical assembly.

Soft Condensed Matter