  We present a Quantum Monte Carlo study of the ground state properties of a
two dimensional system of Bose particle with dipole moment in a harmonic trap.
The direction of the dipoles is assumed to be fixed by an external field. We
study how the system behaves when the direction of the dipole moments is
changed. Our analysis is made using Path Integral Monte Carlo simulations in
the Grand Canonical ensemble, using the Worm Algorithm. We study systems of
increasing size, focusing on the spatial distribution of the atoms inside the
trap and on the superfluid fraction of the sample. We find that vertical
dipoles form a crystal, characterized by a shell structure, while tilting the
dipoles has the effect of inducing a striped structure. We find that similar
behaviour can be found in the analogue classical system. Vertical dipoles
display nonclassical inertia while a strong tilting decreases superfluidity.
