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Aberrant phyllotactic patterns in cones of some conifers: a quantitative study
Author(s) -
Veronika Fierz
Publication year - 2015
Publication title -
acta societatis botanicorum poloniae
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.297
H-Index - 29
eISSN - 2083-9480
pISSN - 0001-6977
DOI - 10.5586/asbp.2015.025
Subject(s) - fibonacci number , quotient , golden ratio , biology , mathematics , botany , tree (set theory) , combinatorics , geometry
The scale patterns of 6000 cones from one single tree of Pinus nigra Arn. have been examined. Apart from the main Fibonacci pattern with 8 and 13 parastichies, nine aberrant spiral patterns with Fibonacci-type sequences have been found. They are quite rare and occur with different frequencies. The parastichy quotient 8/13 of the prevalent pattern is very close to the golden ratio 0.618. In case of the black pine  it appeared that the greater the deviation of the parastichy quotient m/n from 0.618, the rarer the pattern. Similar results obtained for the sample of 1506 cones collected from three individual trees of larch (Larix decidua Mill.) suggest a true correlation between the frequency of a pattern and the deviation of its parastichy quotient from the golden ratio

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