Volume 3, Issue 1-2, December 2022, Pages 27 - 44
Universal Equations – A Fresh Perspective
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Authors
Johan Gielis1, *, 
, Peijian Shi2, Diego Caratelli3
, Peijian Shi2, Diego Caratelli31
Department of Biosciences Engineering, University of Antwerp, Groenenborgerlaan, Wilrijk-Antwerpen
2
Bamboo Research Institute, College of Science, Nanjing Forestry University, 159 Longpan Rd., Nanjing 210037, China
3
The Antenna Company International, Prof. Holstlaan 4, Eindhoven, The Netherlands
*
Corresponding author. Email: johan.gielis@uantwerpen.be
Corresponding Author
Johan Gielis
Article History
Received 20 June 2022Revised 29 July 2022
Accepted 1 August 2022
Available Online 17 August 2022
- DOI
- https://doi.org/10.55060/j.gandf.220817.001
- Keywords
- Gielis Transformations
Power laws
Conic section
Natural shapes - Abstract
A uniform description of natural shapes and phenomena is an important goal in science. Such description should check some basic principles, related to 1) the complexity of the model, 2) how well its fits real objects, phenomena and data, and 3) a direct connection with optimization principles and the calculus of variations. In this article, we present nine principles, three for each group, and we compare some models with a claim to universality. It is also shown that Gielis Transformations and power laws have a common origin in conic sections.
- Copyright
- © 2022 The Authors. Published by Athena International Publishing B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (https://creativecommons.org/licenses/by-nc/4.0/).
Cite This Article
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TY - JOUR AU - Johan Gielis AU - Peijian Shi AU - Diego Caratelli PY - 2022 DA - 2022/08/17 TI - Universal Equations – A Fresh Perspective JO - Growth and Form SP - 27 EP - 44 VL - 3 IS - 1-2 SN - 2589-8426 UR - https://doi.org/10.55060/j.gandf.220817.001 DO - https://doi.org/10.55060/j.gandf.220817.001 ID - Gielis2022 ER -
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