  The control of the magnetic properties of shapeable devices and the
manipulation of flexible structures by external magnetic fields is a keystone
of future magnetoelectronics-based devices. This work studies the elastic
properties of a magnetoelastic nanodisc that hosts a meron as the magnetic
state and can be deformed from structures with positive to negative Gaussian
curvature. We show that the winding number of the hosted meron is crucial to
determine the curvature sign of the stable obtained shape. Additionally, we
show that the optimum curvature reached by the nanodisc depends on geometrical
and mechanical parameters. It is shown that an increase in the external radius,
thickness, and Young's modulus lead to a decrease in the optimum curvature
absolute value. Finally, it is shown that the nanodisc's shape also depends on
the connection between the polarity and chirality of the vortex-like meron.
