COURSE 6 Matching Rules and Quasiperiodicity: the Octagonal Tilings

This lecture discusses one of the most important question raised by the discov-ery of quasicrystals: the onset of quasiperiodic order. In fact, one of the main problems about quasicrystals is to understand the simple possibility of a non periodic long range order, since no two atoms have exactly the same environ