Abstract：
:This paper considers the geometry of plants with golden spiral phyllotaxis, i.e. growing leaf by leaf on a spiral with golden divergence angle, via the simplest mathematical model, a cylinder with regular arrangement of points on its surface. As is well-known, Fibonacci numbers appear by means of the order of parastichies. This fact is shown to be a straightforward application of logical consequences to a particular model with respect to pure visibility. This notion is very similar to that of contact parastichies. The 3-D cylindrical model of golden spiral phyllotaxis abstracts from the form of leaves and identifies them with points. Pure visibility is specified in the 2-D representation so that common sense parastichies can be scrutinized. The main Theorem states that the orders of the purely most visible parastichies are Fibonacci numbers.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Herrmann Bdoi
10.1016/j.mbs.2018.05.003subject
Has Abstractpub_date
2018-07-01 00:00:00pages
185-189eissn
0025-5564issn
1879-3134pii
S0025-5564(17)30657-0journal_volume
301pub_type
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