
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