  Self-assembled structures are possible solutions to the problem of increasing
the density and connectivity of memristive units in massive arrays. Although
they would allow surpassing the limit imposed by the lithographic feature size,
the spontaneous formation of highly interconnected networks poses a new
challenge: how to characterize and control the obtained assemblies. In view of
a flourishing field of such experimental realizations, this study explores the
collective electrical response of simulated memristive units when assembled in
geometrically organized and progressively distorted configurations. We show
that highly idealized memristive arrays already display a degree of complexity
that needs to be taken into account when characterizing self-assemblies to be
technologically exploited. Moreover, the introduction of simple distortions has
a considerable impact on the available resistance states and their evolution
upon cycling. Considering arrays of a limited size, we also demonstrate that
the collective response resembles aspects of the individual model while also
revealing its own phenomenology.
