Self-dual polygons and self-dual curves
Dmitry Fuchs, Serge Tabachnikov
TL;DR
This paper investigates the properties of projectively self-dual polygons and curves in the projective plane, addressing a specific problem from Arnold's collection of mathematical problems.
Contribution
It offers new insights into the structure of self-dual polygons and curves, partially solving a longstanding problem in projective geometry.
Findings
Characterization of self-dual polygons and curves
Partial solution to Arnold's problem No 1994-17
Advancement in understanding projective duality
Abstract
We study projectively self-dual polygons and curves in the projective plane. Our results provide a partial answer to problem No 1994-17 in the book of Arnold's problems.
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Taxonomy
TopicsMathematics and Applications · Advanced Numerical Analysis Techniques · Computational Geometry and Mesh Generation