Johan Gielis1, *, , Peijian Shi2, Diego Caratelli3
Department of Biosciences Engineering, University of Antwerp, Groenenborgerlaan, Wilrijk-Antwerpen
Bamboo Research Institute, College of Science, Nanjing Forestry University, 159 Longpan Rd., Nanjing 210037, China
The Antenna Company International, Prof. Holstlaan 4, Eindhoven, The Netherlands
Received 20 June 2022, Revised 29 July 2022, Accepted 1 August 2022, Available Online 17 August 2022.
- Gielis transformations; Power laws; Conic section; Natural shapes
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.
- © 2022 The Authors. Published by Athena International Publishing B.V.
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).