  We study quasi-two-dimensional dipolar Bose gases in which the bosons
experience a Rashba spin-orbit coupling. We show that the degenerate dispersion
minimum due to the spin-orbit coupling, combined with the long-range dipolar
interaction, can stabilize a number of quantum crystalline and quasicrystalline
ground states. Coupling the bosons to a fermionic species can further stabilize
these phases. We estimate that the crystalline and quasicrystalline phases
should be detectable in realistic dipolar condensates, e.g., dysprosium, and
discuss their symmetries and excitations.
