Year: 2016
Type: article
Abstract: The illumination problem may be phrased as the problem of covering a convex body in Euclidean -space by a minimum number of translates of its interior. By a probabilistic argument, we show that, arbitrarily close to the Euclidean ball, there is a centrally symmetric convex body of illumination number exponentially large in the dimension.
Source: Mathematika
Author: Márton Naszódi
Institution: Eötvös Loránd University
Language: Czech
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G2931092863
OpenAlex ID: W2284710055