  Using atomistic simulations, we show that new types of skyrmion states called
skyrmion molecular crystals and skyrmion superlattices can be realized on
triangular substrates when there are two or three skyrmions per substrate
minimum. We find that as a function of the magnetic field and substrate
periodicity, a remarkably wide variety of ordered phases appear similar to
those found in colloidal or Wigner molecular crystals, including ferromagnetic
and herringbone states. The ability of the skyrmions to annihilate, deform, and
change size gives rise to a variety of superlattice states in which a mixture
of different skyrmion sizes and shapes produces bipartate or more complex
lattice structures. Our results are relevant for skyrmions on structured
triangular substrates, in magnetic arrays, or skyrmions in moire materials.
