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From spherical to Euclidean illumination

Bezdek, Károly and Lángi, Zsolt (2020) From spherical to Euclidean illumination. MONATSHEFTE FÜR MATHEMATIK, 192. pp. 483-492. ISSN 0026-9255

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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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Dr. Zsolt Lángi
Date Deposited: 23 Sep 2020 12:48
Last Modified: 03 Apr 2023 06:57
URI: http://real.mtak.hu/id/eprint/114072

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