We investigate a system of dipolar atoms confined to move on a two dimensional plane.
The dipole moments are all parallel and aligned in a direction that does not
necessarily coincide with the normal to the plane. As a result of the attractive and repulsive
components of the dipole-dipole interaction, the system can form a self-bound system, which
is stabilized by quantum fluctuations. Tilting the dipoles tunes the anisotropy of the
dipole-dipole interaction and offers the possibility to trigger a spatial density
modulation. In this work we combine those two aspects and investigate the formation
of a self-bound and striped phase, which has been realized in experiments with actual
dipolar droplets. We use a variational method based on the hypernetted-chain Euler-Lagrange
optimization of a Jastrow-Feenberg ansatz for the many-body wave function to study the
ground state properties of the system. This method takes into account quantum fluctuations
in a non-perturbative way and is capable of describing strongly correlated systems.
We also perform exact diffusion Monte Carlo simulations for comparison.