Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family
Metric Geometry
2022-01-26 v3 Graphics
Robotics
Dynamical Systems
Abstract
We study loci and properties of a Parabola-inscribed family of Poncelet polygons whose caustic is a focus-centered circle. This family is the polar image of a special case of the bicentric family with respect to its circumcircle. We describe closure conditions, curious loci, and new conserved quantities.
Keywords
Cite
@article{arxiv.2111.00979,
title = {Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family},
author = {Filipe Bellio and Ronaldo Garcia and Dan Reznik},
journal= {arXiv preprint arXiv:2111.00979},
year = {2022}
}
Comments
20 pages, 17 figures, 2 tables