  The interplay between densification and positional ordering during the
process of crystal nucleation is a greatly investigated topic. Even for the
simplest colloidal model -- hard spheres -- there has been much debate
regarding the potential foreshadowing of nucleation by significant fluctuations
in either local density or local structure. Considering anisotropic particles
instead of spheres adds a third degree of freedom to the self-organization
process of crystal nucleation: orientational ordering. Here, we investigate the
crystal nucleation of hard triangular prisms. Using Monte Carlo simulations, we
first carefully determine the crystal-fluid coexistence values and calculate
the nucleation barriers for two degrees of supersaturation. Next, we use brute
force simulations to obtain a large set of spontaneous nucleation events. By
studying the time evolution of the local density, positional ordering, and
orientational ordering in the region in which the nucleus first arises, we
demonstrate that all local order parameters increase simultaneously from the
very start of the nucleation process. We thus conclude that we observe no
precursor for the crystal nucleation of hard triangular prisms.
