Fig. 5.

Shape-induced structural BCC$\leftrightarrow$SC reconfiguration occurs continuously in spheric triangle invariant hard polyhedra. (A) Sample shapes used in umbrella sampling calculation from the start to end in equal space. C shows all shapes. (B) Second neighbor-averaged $l=4$ spherical harmonic order parameter ${\overline{Q}}_4$ shows a series of structures between BCC and SC. (C) Umbrella sampling shows a continuous phase transition. (D) Location of free energy minima extracted from umbrella sampling simulations as a function of ${\alpha }_{a\text{,}c}$.