A Point-Theory of Morphogenesis

Johan Gielis ()
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Johan Gielis: Geniaal BV, Nottebohmstraat 8, 2018 Antwerpen, Belgium

Mathematics, 2025, vol. 13, issue 19, 1-14

Abstract: Building on earlier work with generalised conic sections, we use the superformula to introduce ultra-flexibility instead of rigidity as encoded in the geometry of Euclid and Descartes. By considering Points as ultra-extensible primitives, we define Points endowed with shape, size, and historical continuity. This Point-Theory of Morphogenesis addresses multiple challenges for a mathematical theory of morphogenesis for both natural and abstract shapes. The theory is formalised by a minimal set of one definition, two axioms, and two postulates.

Keywords: geometry; rigidity; flexibility; superformula; structural stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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