Generative Radial Geometry (GRG) for Variable-Radius Closed Shapes: From Construction to Applications
Year: 2025
Type: report
Abstract: Generative Radial Geometry (GRG) is a constructive, radius-first framework that rebuilds a circle’s circumference and area without relying on π in the method. This deposit provides ready-to-use figures: (i) the quadrant construction with rays (angle subdivision) and vertical heights (base subdivision), (ii) the circumference estimate vs. N via the angle–chord method, and (iii) the area estimate vs. N via the sum of vertical heights on the base (midpoint). Reference lines using 2πR and πR² are included only as benchmarks. Files also include a README and a CITATION.cff for metadata. Project website: https://www.generative-radial-geometry.org
Author: Ferragina, Stefano
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6931222957
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