Quasicrystalline patterns can form on surfaces of liquids subjected to vibrational motion.

This can happen both with single tone and two tone drive. 

- attached paper by Vinals; 

- Lifshitz, R. & Petrich, D. M. Theoretical model for Faraday waves with multiple-frequency forcing. 
Phys. Rev. Lett. 79, 1261–1264 (http://dx.doi.org/10.1103/PhysRevLett.79.1261)

### Questions:

* can such states be also generated in 3D?
* is there a connection between Vinals interacting mode theory and the electronic theory of quasicrustals?