Generative Radial Geometry (GRG) for Variable-Radius Closed Shapes: From Construction to Applications

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

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-10
DOI
https://doi.org/10.5281/zenodo.16789039
Primary Topic
Digital Games and Media
Type
article
Field-Weighted Citation Impact
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article

Generative Radial Geometry (GRG) for Variable-Radius Closed Shapes: From Construction to Applications

Zenodo (CERN European Organization for Nuclear Research)
Digital Games and Media
article

Generative Radial Geometry (GRG) for Variable-Radius Closed Shapes: From Construction to Applications

article en

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

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Openalex Percentile: Top 44%
Digital Games and Media
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Generative Radial Geometry (GRG) for Variable-Radius Closed Shapes: From Construction to Applications · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS