The Existence of a Billiard Orbit in the Regular Hyperbolic Simplex
Dynamical Systems
2013-02-27 v1
Abstract
In this note we establish the existence of a (n+1)-periodic billiard trajectory inside an n-dimensional regular simplex in the hyperbolic space, which hits the interior of every facet exactly once.
Cite
@article{arxiv.1302.6496,
title = {The Existence of a Billiard Orbit in the Regular Hyperbolic Simplex},
author = {Oded Badt and Yaron Ostrover},
journal= {arXiv preprint arXiv:1302.6496},
year = {2013}
}
Comments
18 pages, 3 figures