Fig. 2.

Sample self-assembled colloidal crystals formed by shapes in the ${\mathrm{\Delta }}_{323}$ triangle-invariant family of hard polyhedra, with images showing particle shape and bond order diagram. (A) An FCC crystal self-assembled from shape $({\alpha }_a\text{,}{\alpha }_c)=(0.4\text{,}0.525)$. (B) A BCC crystal self-assembled from shape $({\alpha }_a\text{,}{\alpha }_c)=(0.4\text{,}0.59)$. (C) An SC crystal self-assembled from shape $({\alpha }_a\text{,}{\alpha }_c)=(0.76\text{,}0.76)$. Note the similarity of shapes in A and B; even small shape differences can affect the bulk self-assembly of hard polyhedra. Shapes in A and B are both on line 1 in Fig. 1, and the shape in C is on line 2 in Fig. 1.