
Accession Number : ADA182390
Title : The Petersen Polytopes.
Descriptive Note : Technical rept.,
Corporate Author : CLARKSON UNIV POTSDAM NY DEPT OF MATHEMATICS AND COMPUTER SCIENCE
Personal Author(s) : Powers, David L
PDF Url : ADA182390
Report Date : Nov 1986
Pagination or Media Count : 22
Abstract : A facet of a convex polytope C is the intersection of C with a supporting hyperplane. Since the extreme points (extrema) of a facet F of C are just the extreme of C that lie in F, a facet is completely described by the list of its extrema. In the following we may not distinguish among: (a) a polytope; (b) the set of extrema of the polytope; (c) the set of coordinate vectors of the extrema of the polytope; (d) the set of vertices of the graph G corresponding to the rows of Z that are coordinate vectors of the extrema of the polytope. If EZ is singular, then W = conv (w sub i : i an element of U) is not a facet.
Descriptors : *PROJECTIVE GEOMETRY, POLYGONS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE