  The nonlinear response of driven complex materials -- disordered magnets,
amorphous media, crumpled sheets -- features intricate transition pathways
where the system repeatedly hops between metastable states. % which encode
memory effects. Such pathways encode memory effects and may allow information
processing -- yet tools are lacking to experimentally observe and control these
pathways, and their full breadth has not been explored. Here we introduce
compression of corrugated elastic sheets to precisely observe and manipulate
{their full}, multi-step pathways, which are reproducible, robust,and
controlled by geometry. We show how manipulation of the boundaries allows to
elicit multiple targeted pathways from a single sample. In all cases, each
state in the pathway can be encoded by the binary state of material 'bits'
called hysterons, and the strength of their interactions plays a crucial role.
In particular, as function of increasing interaction strength, we observe
Preisach pathways, expected in systems of independently switching hysterons,
'scrambled' pathways that evidence hitherto unexplored interactions between
these material bits, and 'accumulator' pathways which leverage these
interactions to perform an elementary computation. Our work opens a route to
probe, manipulate and understand complex pathways, impacting future
applications in soft robotics and information processing in materials.
