  Vortex lattices in rapidly rotating Bose-Einstein condensates lead to a
periodic modulation of the superfluid density with a triangular symmetry. Here
we show that this symmetry can be combined with an external perturbation in
order to create super-lattice structures with two or more periodicities.
Considering a condensate which is kicked by an optical lattice potential, we
find the appearance of transient moir\'e lattice structures, which can be
identified using the kinetic energy spectrum.
