Wave-Driven Assembly of Quasiperiodic Patterns of Particles

We theoretically show that a superposition of plane waves causes small (compared to the wavelength) particles dispersed in fluid assemble quasiperiodic two or three-dimensional patterns. experimentally demonstrate this theory by using ultrasound patterns carbon nanoparticles water an octagonal arrangement transducers, and we document good agreement between experiments. The also applies obtaining other situations where move with linear waves, such as optical lattices.