A characterization of simplices in terms of visibility

Authors
Martini, H Soltan, V
Citation
H. Martini et V. Soltan, A characterization of simplices in terms of visibility, ARCH MATH, 72(6), 1999, pp. 461-465
Citations number
6
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
72
Issue
6
Year of publication
1999
Pages
461 - 465
Database
ISI
SICI code
0003-889X(19990601)72:6<461:ACOSIT>2.0.ZU;2-C
Abstract
It is proved that a convex body K subset of E-d is a simplex if and only if for any exterior point x there is one more exterior point nu such that the set {x, nu} sees the whole boundary of K.