The Shape of Things Developmental Geometry Arc 3: The Reason for Things Volume I: The Ontology of Imbalance
Robert A. Moser
Abstract
Arc 3 Volume II develops the geometric embedding of the generative triple as a cone-wall tiling, derives the shell capacity formula C_n = 2n² from tiling geometry, establishes the physical class as one instance of the universal developmental invariant, and proves the universality theorem: every DG-admissible system exhibits the generative triple, throat, corridor, and convergence to the limiting signature.
Topics & Concepts
EmbeddingUniversality (dynamical systems)MathematicsGenerative grammarArc (geometry)LimitingClass (philosophy)GeometryVolume (thermodynamics)OntologyComputer scienceTheoretical computer scienceGeometric shapeGenerative modelConvergence (economics)Pure mathematicsConic sectionAlgebra over a fieldDiscrete mathematicsCalculus (dental)Artificial intelligenceGenerator (circuit theory)AlgorithmPhysical systemQuasicrystal Structures and PropertiesCellular Automata and ApplicationsMathematics and Applications