DYNAMICAL GENERATION OF QUASI-CRYSTALS

We present a new general mechanism for a dynamicalgeneration (growth) of quasicrystals (and crystals) in any dimension. The growth process p roceeds in elementary steps starting from a chosen seed and the notion of an ideal local configuration. Each step is governed by local infor mation inside of the physical space of the quasicrystal: A point is ad ded to existing quasicrystal points only if its locally defined phase matches at that point a freely chosen continuous phase (gauge) in the quasicrystal space within a given precision. Some 2D examples are show n.