New Properties and Invariants of Harmonic Polygons
Ronaldo Garcia, Dan Reznik, Pedro Roitman
TL;DR
This paper explores novel Euclidean properties and invariants of harmonic polygons within the Poncelet family, discovered through simulation and subsequently proven, enriching the understanding of geometric invariants.
Contribution
It introduces new properties and invariants of harmonic polygons in the Poncelet family, supported by simulation and mathematical proof.
Findings
Discovery of new Euclidean properties of harmonic polygons
Identification of invariants within the Poncelet family
Validation of properties through mathematical proof
Abstract
Via simulation, we discover and prove curious new Euclidean properties and invariants of the Poncelet family of harmonic polygons.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematics and Applications · Advanced Mathematical Theories and Applications · Structural Analysis and Optimization