URBANISM MEETS ART : A geometric model of citation asymmetry mapping discursive curvature through ring stratification, macrofield calibration, and structural topology

The ring stratification—Core 10; Ring 1: 20; Ring 2: 30; Ring 3: 40; Ring 4: 100; Ring 5: 300—executes a geometric decay model rather than decorative taxonomy, concentrating approximately ninety-five per cent of modeled citation mass within the first sixty operators of a ten-million-reference system, while the remaining 440 register detectable presence without defining systemic curvature. Beneath them, an extrapolated population of ninety-nine thousand constitutes the long tail of attenuated amplitude; the pyramid is steep because heavy-tailed regimes are structurally steep. Foundational substrates such as Plato and Immanuel Kant function as background radiation, metabolised across centuries rather than operating as discrete contemporary cores, whereas literary reservoirs including Jorge Luis Borges and Franz Kafka remain largely confined to narrative regimes. Discipline-specific figures such as Aldo Rossi and Christopher Alexander exert strong local gravity yet do not deform cross-field topology. Calibration derives not from nomination but from the empirical regularities described by Lotka’s law and Pareto distributions, with a lower detection threshold—approximately 500–2,000 citations, field-adjusted—marking a phase transition between enclave influence and transversal deformation. The stabilised 100-macrofield grid functions as observational surface: modify the grid and dispersion metrics shift accordingly; thus Version 1.0.0 maintains taxonomic closure as any scientific instrument would. Denise Scott Brown’s articulation of “active socioplastics” (2007) converges conceptually yet diverges in regime and scale, her formulation methodological within urban design, Lloveras’s ontological across disciplines. Limitations—database bias, anglophone dominance, temporal distortion—are declared as operational boundaries, not concealed as error. The corpus maps density, not merit; gradient, not virtue. It is neither tribunal nor hall of fame but calibrated cartography, rendering structural asymmetry legible and therefore navigable.