  We adapt Vertex models to understand the physical origin of the formation of
long-range ordered structures in repulsive soft particles. The model
incorporates contributions from the volume and surface area of each particle.
Sampling using Monte Carlo simulations allows the system to naturally select
preferred structures. We observe transitions between a body-centered cubic
ordered state and a disordered state. Constraints to the simulation domain can
suppress or allow the system to follow a path similar to Martensitic
transformations from one ordered state to another ordered state. Finally, we
show that rapid quenches from a disordered state into the ordered region lead
to metastable local particle arrangements instead of a large-scale single
crystal.
