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Author (up) Gole, C.; Dumais, J.; Douady, S. pdf  doi
  Title Fibonacci or quasi-symmetric phyllotaxis. Part I: why? Type Journal Article
  Year 2016 Publication Acta Societatis Botanicorum Poloniae Abbreviated Journal Acta Soc. Bot. Pol.  
  Volume 85 Issue 4 Pages 34 pp  
  Keywords phyllotaxis; Fibonacci; quasi-symmetry; disc-stacking model; irregular pattern  
  Abstract The study of phyllotaxis has focused on seeking explanations for the occurrence of consecutive Fibonacci numbers in the number of helices paving the stems of plants in the two opposite directions. Using the disk-accretion model, first introduced by Schwendener and justified by modern biological studies, we observe two distinct types of solutions: the classical Fibonacci-like ones, and also more irregular configurations exhibiting nearly equal number of helices in a quasi-square packing, the quasi-symmetric ones, which are a generalization of the whorled patterns. Defining new geometric tools allowing to work with irregular patterns and local transitions, we provide simple explanations for the emergence of these two states within the same elementary model. A companion paper will provide a wide array of plant data analyses that support our view.  
  Address [Gole, Christophe] Smith Coll, Dept Math, Northampton, MA 01063 USA, Email:  
  Corporate Author Thesis  
  Publisher Polskie Towarzystwo Botaniczne Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0001-6977 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000392930700006 Approved no  
  Call Number UAI @ eduardo.moreno @ Serial 694  
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