  Strongly repelling bosons in two-dimensional harmonic traps are described
through breaking of rotational symmetry at the Hartree-Fock level and
subsequent symmetry restoration via projection techniques, thus incorporating
correlations beyond the Gross-Pitaevskii (GP) solution. The bosons localize and
form polygonal-ring-like crystalline patterns, both for a repulsive contact
potential and a Coulomb interaction, as revealed via
conditional-probability-distribution analysis. For neutral bosons, the total
energy of the crystalline phase saturates in contrast to the GP solution, and
its spatial extent becomes smaller than that of the GP condensate. For charged
bosons, the total energy and dimensions approach the values of classical
point-like charges in their equilibrium configuration.
