  We investigate theoretically the equilibrium configurations of many magnetic
skyrmions interacting with many superconducting vortices in a
superconductor-chiral magnet bilayer. We show that miscible mixtures of
vortices and skyrmions in this system breaks down at a particular wave number
for sufficiently strong coupling, giving place to remarkably diverse mesoscale
patterns: gel, stripes, clusters, intercalated stripes and composite
gel-cluster structures. We also demonstrate that, by appropriate choice of
parameters, one can thermally tune between the homogeneous and
density-modulated phases.
