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