Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Golden Ratio and Phyllotaxis, what is the mathematical link?   Exploiting Markoff's Theory for rational approximations of real numbers, we
explicitly link how hard it is to approximate a given number to an idealized
notion of growth capacity for plants which we express as a modular invariant
function depending on this number. Assuming that our growth capacity is
biologically relevant, this allows us to explain in a satisfying mathematical
way why the golden ratio occurs in nature.

0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg