The Circumbilliard: Any Triangle can be a 3-Periodic
Dynamical Systems
2020-04-16 v1 Computational Geometry
Robotics
Abstract
A Circumconic passes through a triangle's vertices. We define the Circumbilliard, a circumellipse to a generic triangle for which the latter is a 3-periodic. We study its properties and associated loci.
Keywords
Cite
@article{arxiv.2004.06776,
title = {The Circumbilliard: Any Triangle can be a 3-Periodic},
author = {Dan Reznik and Ronaldo Garcia},
journal= {arXiv preprint arXiv:2004.06776},
year = {2020}
}
Comments
14 pages, 8 figures, 4 tables, 7 videos NOTE: this is part I from arXiv:2004.02680 which originally contained two parts and now has been replaced to only contain part II