Quasicrystallography: some interesting new patterns
Quasicrystals and almost periodic functions
We consider analogies between the "cut-and-project" method of constructing quasicrystals and the theory of almost periodic functions. In particular an analytic method of constructing almost periodic functions by means of convolution is presented. A geometric approach to critical points of such functions is also shown and illustrated with examples.
Quasisymmetric embedding of self similar surfaces and origami with rational maps.