  In continuation of our work in [A.P. Gantapara et al., Phys. Rev. Lett. 111,
015501 (2013)], we investigate here the thermodynamic phase behavior of a
family of truncated hard cubes, for which the shape evolves smoothly from a
cube via a cuboctahedron to an octahedron. We used Monte Carlo simulations and
free-energy calculations to establish the full phase diagram. This phase
diagram exhibits a remarkable richness in crystal and mesophase structures,
depending sensitively on the precise particle shape. In addition, we examined
in detail the nature of the plastic crystal (rotator) phases that appear for
intermediate densities and levels of truncation. Our results allow us to probe
the relation between phase behavior and building-block shape and to further the
understanding of rotator phases. Furthermore, the phase diagram presented here
should prove instrumental for guiding future experimental studies on
similarly-haped nanoparticles and the creation of new materials.
