  We present a numerical study on a disordered artificial spin-ice system which
interpolates between the long-range ordered square ice and the fully degenerate
shakti ice. Starting from the square-ice geometry, disorder is implemented by
adding vertical/horizontal magnetic islands to the center of some randomly
chosen square plaquettes of the array, at different densities. When no island
is added we have ordered square ice. When all square plaquettes have been
modified we obtain shakti ice, which is disordered yet in a topological phase
corresponding to the Rys F-model. In between, geometrical frustration due to
these additional center spins disrupts the long-range Ising order of
square-ice, giving rise to a spin-glass regime at low temperatures. The
artificial spin system proposed in our work provides an experimental platform
to study the interplay between quenched disorder and geometrical frustration.
