A characterization of quasi-rational polygons
Nicolas Bedaride

TL;DR
This paper investigates quasi-rational polygons associated with outer billiards, comparing various definitions and synthesizing their properties to deepen understanding of their geometric and dynamical characteristics.
Contribution
It provides a comprehensive comparison and synthesis of different notions of quasi-rational polygons in the context of outer billiards, clarifying their relationships.
Findings
Unified framework for quasi-rational polygons
Clarified relationships between different notions
Enhanced understanding of outer billiard dynamics
Abstract
The aim of this paper is to study quasi-rational polygons related to the outer billiard. We compare different notions introduced, and make a synthesis of those.
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