Archimedean Tilings Obtained from Polymers(Current Topic)

Abstract

Three-colored two-dimensional tilings like textile designs have been obtained by means of the self-organization of ABC star block copolymers. These tilings are well described by Archimedean tilings studied by Kepler. Recently, an Archimedean tiling (3^2.4.3.4) having more complex molecular environments was found. This structure is known as the σ phase in the Frank-Kasper complex alloy family. Furthermore, it is an approximant of dodecagonal quasicrystals.