Citation
K. Bezdek et al., AN ILLUMINATION PROBLEM FOR ZONOIDS, Israel Journal of Mathematics, 81(3), 1993, pp. 265-272
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00212172
Volume
81
Issue
3
Year of publication
1993
Pages
265 - 272
Database
ISI
SICI code
0021-2172(1993)81:3<265:AIPFZ>2.0.ZU;2-0
Abstract
Let Z subset-of E(d) be a d-dimensional zonoid, where d greater-than-o
r-equal-to 3. Boltjanskii and Soltan recently proved that if Z is not
a parallelotope, then Z can be illuminated by 3.2d-2 points disjoint f
rom Z. In the present paper we prove a related result. Namely, we show
that if d + 1 = 2p, then Z can be illuminated by 2d/d+1 lines lying o
utside Z.