MGCGGRRODec 5, 2021

New Properties and Invariants of Harmonic Polygons

arXiv:2112.02545v3
Originality Synthesis-oriented
AI Analysis

This work addresses a niche problem in computational geometry for researchers, but it appears incremental as it builds on known families like Poncelet polygons.

The paper tackled the discovery and proof of new Euclidean properties and invariants for harmonic polygons within the Poncelet family, using simulation as a method.

Via simulation, we discover and prove curious new Euclidean properties and invariants of the Poncelet family of harmonic polygons.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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