  We have proposed in this work an original system composed by anti-dots
nanopatterned in a ferromagnetic thin film, mimicking negatively the structure
of an articial spin ice. In the hysteresis loop we notice the emergency of an
anisotropy in the magnetization saturation and in the micromagnetic
simulations, in the beginning of the hysteresis loop (relaxation), the
formation of a vortex crystal array with vortices in diferent positions
possessing random polarization and chirality. The crystal of vortices in this
electrically connected sample could be most eficient than those observed in
non-connected nanodiscs for current-driven or magnetic vortices switching by
electric currents.
