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Document type:
Zeitschriftenaufsatz 
Author(s):
Brandenberg, R. and T. Theobald 
Title:
Radii of simplices and some applications to geometric inequalities 
Abstract:
We provide a characterization of the radii minimal projections of polytopes onto j-dimensional subspaces in Euclidean space . Applied to simplices this characterization allows to reduce the computation of an outer radius to a computation in the circumscribing case or to the computation of an outer radius of a lower-dimensional simplex. In the second part of the paper, we use this characterization to determine the sequence of outer (n – 1)-radii of regular simplices (which are the radii of smal...    »
 
Keywords:
Polytope; Projection; outer radius; enclosing cylinder; regular simplex; polynomial optimization; symmetric polynomials 
Journal title:
Advances in Geometry 
Year:
2005 
Journal issue:
Pages contribution:
71-83 
Reviewed:
ja 
Language:
en 
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik