From spherical to Euclidean illumination
Metric Geometry
2020-10-13 v2
Abstract
In this note we introduce the problem of illumination of convex bodies in spherical spaces and solve it for a large subfamily of convex bodies. We derive from it a combinatorial version of the classical illumination problem for convex bodies in Euclidean spaces as well as a solution to that for a large subfamily of convex bodies, which in dimension three leads to special Koebe polyhedra.
Keywords
Cite
@article{arxiv.1909.11884,
title = {From spherical to Euclidean illumination},
author = {Károly Bezdek and Zsolt Lángi},
journal= {arXiv preprint arXiv:1909.11884},
year = {2020}
}
Comments
7 pages