Aperiodic approximants for relating quasicrystals and modulated structures

By constructing hexagonal metallic-mean approximants of the honeycomb lattice, scientists have linked incommensurately modulated structures and quasicrystals, two classes of aperiodic crystals. They found that a quasicrystal converges to a modulated honeycomb crystal on arranging tiles based on metallic means. This metallic-mean tiling pattern was also identified in polymer and colloidal systems in soft-matter self-assemblies, providing new insights into aperiodic crystals.

source https://www.sciencedaily.com/releases/2024/07/240711111450.htm