Quasicrystals are an interesting thing. Basically all common crystals can be represented by translation of a small unit cell in 3D space. OTOH quasicrystals are structured forms of matter which cannot be represented by repetition of such unit cell. These materials show some interesting elastic properties and diffraction patterns. Quasicrystalline coatings have low friction coefficient (similar to Teflon) and can be potentially used in cookware [1].
[1] - http://www.springerlink.com/content/134r413766433207/