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.
DOI: https://doi.org/10.3390/math13193076
Publish Year: 2025
