Reflections in an octagonal mirror maze
Computational Geometry
2022-06-24 v1
Abstract
Suppose we are given an environment consisting of axis-parallel and diagonal line segments with integer endpoints, each of which may be reflective or non-reflective, with integer endpoints, and an initial position for a light ray passing through points of the integer grid. Then in time polynomial in the number of segments and in the number of bits needed to specify the coordinates of the input, we can determine the eventual fate of the reflected ray.
Cite
@article{arxiv.2206.11413,
title = {Reflections in an octagonal mirror maze},
author = {David Eppstein},
journal= {arXiv preprint arXiv:2206.11413},
year = {2022}
}
Comments
6 pages, 5 figures. To appear in 34th Canadian Conference on Computational Geometry