Using molecular dynamics calculations and the Voronoi tessellation, we
study the evolution of the local structure of a soft-sphere glass vs,
temperature starting from the liquid phase at different quenching rat
es. This study is done for different sizes and for two different bound
ary conditions, namely the usual cubic periodic boundary conditions an
d the isotropic hyperspherical boundary conditions for which the parti
cles evolve on the surface of a hypersphere in four dimensions. Our re
sults show that for small system sizes, crystallization can indeed be
induced by the cubic boundary conditions. On the other hand, we show t
hat finite-size effects are more pronounced on the hypersphere and tha
t crystallization is artificially inhibited even for large system size
s.