More about areas and centers of Poncelet polygons
Metric Geometry
2020-04-14 v1 Differential Geometry
Dynamical Systems
Abstract
We study the locus of the Circumcenter of Mass of Poncelet polygons, and the limit of the Center of Mass (when we consider the polygon as a "homogeneous lamina") for degenerate Poncelet polygons. We also provide a proof for one of Dan Reznik invariants for billiard trajectories. Plus, we take a look at how the scene looks like when we shift to spherical geometry.
Keywords
Cite
@article{arxiv.2004.05404,
title = {More about areas and centers of Poncelet polygons},
author = {Ana C. Chavez-Caliz},
journal= {arXiv preprint arXiv:2004.05404},
year = {2020}
}
Comments
21 pages, 14 figures