Phyllotaxis as a physical selforganized growth process
Abstract
A specific crystalline order, involving the Fibonacci series, had until now only been observed in plants (phyllotaxis). Here, these patterns are obtained both in a physics laboratory experiment and in a numerical simulation. They arise from selforganization in an iterative process. They are selected depending on only one parameter describing the successive appearance of new elements, and on initial conditions. The ordering is explained as due to the system's trend to avoid rational (periodic) organization, thus leading to a convergence towards the golden mean.
 Publication:

Physical Review Letters
 Pub Date:
 March 1992
 DOI:
 10.1103/PhysRevLett.68.2098
 Bibcode:
 1992PhRvL..68.2098D
 Keywords:

 87.10.+e;
 05.45.+b;
 61.50.Cj;
 General theory and mathematical aspects