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Archiv der Mathematik

, Volume 72, Issue 6, pp 461–465 | Cite as

A characterization of simplices in terms of visibility

  • H. Martini
  • V. Soltan
Article
  • 34 Downloads

Abstract.

It is proved that a convex body \(K \subset E^d\) is a simplex if and only if for any exterior point x there is one more exterior point v such that the set {x, v} sees the whole boundary of K.

Keywords

Convex Body Exterior Point 

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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • H. Martini
    • 1
  • V. Soltan
    • 2
  1. 1.Fakultät für Mathematik, TU Chemnitz, D-09107 Chemnitz, Germany Deutschland
  2. 2.Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030, U.S.A.US

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