  We demonstrate a supersolid-like spatially-periodic square- and
honeycomb-lattice crystallization of droplets, in addition to the
commonly-studied triangular-lattice crystallization, in a
cylindrically-symmetric quasi-two-dimensional trapped dipolar condensate, using
a beyond-mean-field model including a quantum-fluctuation Lee-Huang-Yang-type
interaction. These three types of crystallization of droplets may appear for
the same atomic interactions and the same trap frequencies. The energy $E$ of
all three crystallization as a function of number $N$ of atoms satisfy the
universal scaling relation $E\sim N^{0.4}$ indicating that all three
arrangements of the droplets should be energetically probable processes of
phenomenological interest. The state of square-lattice crystallization may have
the central site occupied or unoccupied, corresponding to a parity-symmetric or
parity-antisymmetric state, respectively. The state of square-lattice
crystallization with the occupied central site and the state of
triangular-lattice crystallization, for a fixed $N$, constitute two
quasi-degenerate ground states while the other states are low-lying excited
states. This makes the square-lattice crystallization with the occupied central
site an ideal candidate for future experimental observation.
