The Shape of Things Developmental Geometry Arc 3: The Reason for Things Volume II: Geometry and Universality

Arc 3, Volume II: The Physical Class and the Universal Invariant Volume I of Arc 3 established the ontology of developmental geometry: imbalance as the primitive, the split operator as the mechanism, the generative triple (δ,ρ,σ)(\delta, \rho, \sigma) (δ,ρ,σ) as the governing structure of the cascade. Volume II asks the two questions that Volume I made necessary. Book 4: The Physical Class. The generative triple is an algebraic object. Volume II develops its geometric realization: the cone-wall generative triangulation tiling, a recursive tiling of a curved surface that produces the same throat, cascade, and limiting geometry as the algebra. The physical class — the class whose ground-state configurations are…