Extended Data Fig. 3: Densest packing of hard rounded decahedra.
(a, b) SEM images of a triclinic crystalline structure formed by slow-drying decahedral NPs on a surface. (c) Comparison of the highest packing fraction (\(N\times {v}_{0}/{V}_{{\rm{Box}}}\), where v0 is the volume of a particle) for four simulated structures: Quasicrystal Approximant (QA) (Supplementary Fig. 14), Triclinic (Tri), Rhombohedral (Rh), and Hexagonal (Hex), with increasing rounding radius (lrr) of the hard decahedra. Solid markers are the packing fraction of the densest crystals obtained from the packing simulations of systems with N = 2 or 4. Open markers are the maximum packing fractions of each phase obtained by compressing the constructed crystal structures (Methods). (d–g) Structural illustration of rounded decahedra (\({l}_{{rr}}/{l}_{{edge}} \sim 0.18\)) packed into the four crystalline lattices.
