Non-periodic not everywhere dense trajectories in triangular billiards
arxiv(2024)
Abstract
Building on tools that have been successfully used in the study of rational
billiards, such as induced maps and interval exchange transformations, we
provide a construction of a one-parameter family of isosceles triangles
exhibiting non-periodic trajectories that are not everywhere dense. This
provides, by elementary means, a definitive negative answer to a long-standing
open question on the density of non-periodic trajectories in triangular
billiards.
MoreTranslated text
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined