Accession Number : ADA183352

Title :   A Surprising Property of Some Regular Polytopes,

Corporate Author : CLARKSON UNIV POTSDAM NY DEPT OF MATHEMATICS AND COMPUTER SCIENCE

Personal Author(s) : Licata, Carolyn ; Powers, David L

PDF Url : ADA183352

Report Date : Jan 1986

Pagination or Media Count : 18

Abstract : The Platonic solids and some other polytopes have the property that the adjacency information contained in the skeleton (graph) is enough to determine the polytope completely. In particular, the eigenmatrix of the adjacency matrix corresponding to the second eigenvalue provides the coordinates of the vertices. (Author)

Descriptors :   *ALGEBRAIC GEOMETRY, EIGENVALUES, GRAPHS, SKELETON, MATRICES(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE