Accession Number : AD0691822

Title :   THE IMPORTANCE OF BEING STRAIGHT.

Descriptive Note : Technical rept.,

Corporate Author : WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS

Personal Author(s) : Gruenbaum,Branko

Report Date : AUG 1969

Pagination or Media Count : 21

Abstract : Examples of open problems from three fields are used to discuss the thesis that our imperfect understanding of closely related objects is at the root of the difficulties encountered in solving the problems. The fields discussed are: (1) arrangements of lines, or of pseudolines, in the projective plane; (2) boundary complexes of polytopes, and combinatorial spheres; (3) boundary complexes of centrally symmetric polytopes, and combinatorial spheres with a center of symmetry. (Author)

Descriptors :   (*GEOMETRY, *COMBINATORIAL ANALYSIS), LINEAR PROGRAMMING, PATTERN RECOGNITION, PROJECTIVE GEOMETRY, TOPOLOGY, GRAPHICS, SPHERES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE