2004/05/25 by Ricardo Chacón, R. Chacon, Chacon, R.
Agricultural and Biological Sciences · Mathematics · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #Leaf Properties and Growth Measurement #Morphological variations and asymmetry #nlin.AO
paper · pdf · doi:10.48550/arxiv.nlin/0405057
3 pages, 2 figures
arxiv created 2004/05/25 · openalex publication_date 2004/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The work presents two examples of simple mathematical formulas which are natural nonlinear modifications (one being a generalization) of Gielis' formula. These formulas involve a comparable number of parameters and provide non-Platonic representations of a vast diversity of natural shapes and patterns by incorporating diverse aspects of asymmetry and seeming disorder which are absent in the original Gielis' formula. It is also shown how diverse sequences resembling some natural-world pattern evolutions are also generated by such nonlinear formulas.