  Recent studies have demonstrated that skyrmionic states can be the ground
state in thin-film FeGe disk nanostructures in the absence of a stabilising
applied magnetic field. In this work, we advance this understanding by
investigating to what extent this stabilisation of skyrmionic structures
through confinement exists in geometries that do not match the cylindrical
symmetry of the skyrmion -- such as as squares and triangles. Using simulation,
we show that skyrmionic states can form the ground state for a range of system
sizes in both triangular and square-shaped FeGe nanostructures of
$10\,\text{nm}$ thickness in the absence of an applied field. We further
provide data to assist in the experimental verification of our prediction; to
imitate an experiment where the system is saturated with a strong applied field
before the field is removed, we compute the time evolution and show the final
equilibrium configuration of magnetization fields, starting from a uniform
alignment.
