I think there is a relation between Fibonacci Sequence , and golden section and with nano since, because Fibonacci Sequence has arelation with alot of things in our life but what the relation ? I wont to know.
The superlattice of AlGaAs barrier is arranged in a fibonacci sequence and there are also examples of quasicrystalls obeying the fibonacci quasi periodic structure (also multiple critical points). The sun-flowerstructure also is described via a fibonacci series...but that might be moreBioMamotechnology than Nanotechnology :)
H agree with you dear Dr Raid there is a relation between Fibonacci Sequence and with nano since. However, the answer needs more research activities to prove it. Till today, the articles discussing Fibonacci Sequence are limited and appreciate your active working in this field highly.