Research Article
A Max-Min Principle for Phyllotactic Patterns
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@INPROCEEDINGS{10.1007/978-3-642-02469-6_14, author={Wai-Ki Ching and Yang Cong and Nam-Kiu Tsing}, title={A Max-Min Principle for Phyllotactic Patterns}, proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2}, proceedings_a={COMPLEX PART 2}, year={2012}, month={5}, keywords={Divergence Angle Golden Angle Max-Min Principle Phyllotactic Patterns}, doi={10.1007/978-3-642-02469-6_14} }- Wai-Ki Ching
Yang Cong
Nam-Kiu Tsing
Year: 2012
A Max-Min Principle for Phyllotactic Patterns
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_14
Abstract
An interesting phenomenon about phyllotaxis is the divergence angle between two consecutive primordia. In this paper, we consider a dynamic model based on Max-Min principle for generating 2D phyllotactic patterns studied in [2,5]. Under the hypothesis that the influence of the two predecessors is enough to fix the birth place of the new generated primordium, analysis and numerical experiments are conducted. We then propose a new measurement for evaluating the pattern uniformity (sparsity) of different divergence angles. It is found that the golden angle gives very good sparsity but there are other angles give even better sparsity under our proposed measurement.
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