Fig. 1: Phase diagram and crystalline structures related to the quasicrystal state.
From: Hierarchical ground-state crystals underlying Hertzian quasicrystals
A Two system parameters α and ρ* span the phase diagram, determined from exact treatment of the system potential energy. Those with basic tilings are uncolored: Tri (triangle), Sq (square), Str (stripe), SHon (stretched honeycomb), and Hon (honeycomb), as well as those with sophisticated, pentagon-related tilings are colored: Cairo, Chengtu, PenHex-Str, Agra, and PenTri-Rec. The structures of the latter are further displayed in (B–F) in two views: in long-range order (upper panels) and their primitive cells (low panels) where solid lines and pink spheres represent tiles and particles in each primitive cell. In each tiling, congruent tiles are colored with the same color. The gray zones in (A) represent coexistence of nearby phases.
