Structural properties of octagonal quasicrystal based on covering theory

Structural model for octagonal quasicrystals derived from octagonal symmetry elements arising inβ-Mncrystallization of a simple monatomic liquid

“…Insights into the ways octagonal tilings are stabilized could be approached through the analysis of the energetic relevance, for our specific tile decorations, of the cluster coverings proposed and analyzed for octagonal phases. [29][30][31] In advance of these future endeavors, we can draw some structural conclusions from our model. It reaffirms the close structural relationship between octagonal quasicrystals and the ␤-Mn structure inferred from experimental investigations.…”