Containment and circumscribing simplices

E. Lutwak

Research output: Contribution to journalArticlepeer-review


The following containment theorem is presented: If K and L are convex bodies such that every simplex that contains L also contains some translate of K, then in fact the body L must contain a translate of the body K. One immediate consequence of this theorem is a strengthened version of Weil's mixed-volume characterization of containment.

Original languageEnglish (US)
Pages (from-to)229-235
Number of pages7
JournalDiscrete and Computational Geometry
Issue number2
StatePublished - Mar 1998

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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