Wow, good work! but there are still plenty of examples in nature where the fibonacci sequence does occur in the leaf patterns on plants. Very recently, there h

Wow, good work! but there are still plenty of examples in nature where the fibonacci sequence does occur in the leaf patterns on plants. Very recently, there has been some beautiful theory explaining the appearance of the fibonacci sequence as a consequence of the balance of mechanical forces during the growth and development of plants Here's a great talk on this at the Kavli institute http://online.itp.ucsb.edu/online/pattern_c03/shipman/ http://online.itp.ucsb.edu/online/pattern_c03/shipman/ See also this pop article in Physical Review Focus http://focus.aps.org/story/v13/st18 http://focus.aps.org/story/v13/st18 And I also recall this Science paper from 2005 -- this is a truly amazing experimental test of these ideas - this group created micron sized silver particles enclosed in a glass shell and observed the emergence of fibonacci patterns as the particles were cooled. Warning! hardcore mechanics knowledge needed: http://www.sciencemag.org/cgi/content/abstract/309/5736/909?ck=nck http://www.sciencemag.org/cgi/content/abstract/309/5736/909?...