  This study employs the isospin-dependent Boltzmann-Uehling-Uhlenbeck model to
simulate intermediate-energy heavy-ion collisions between prolate nuclei
$^{24}$Mg. The emphasis is on investigating the influence of centrality and
orientation in several collision scenarios. The final-state particle
multiplicities and anisotropic flows are primarily determined by the
eccentricity and the area of the initial overlap. This not only provides
feedback on the collision systems, but also, to some extent, provides a means
to explore the fine structure inside deformed nuclei. Additionally,
non-polarized collisions have been further discussed. These results contribute
to the understanding of the geometric effects in nuclear reactions, and aid in
the exploration of other information on reaction systems, such as the equation
of state and nuclear high-momentum tail.
