Accession Number:
AD0687267
Title:
HARMONIC POLYHEDRA
Descriptive Note:
Corporate Author:
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
Personal Author(s):
Report Date:
1969-03-01
Pagination or Media Count:
25.0
Abstract:
A polyhedron of genus p is harmonic if the number of its faces vertices is the harmonic mean of its numbers of its edges and vertices faces . The determination of all permissible combinations of numbers of vertices, edges, and faces is reduced to solution of Pells equation. Realizations of all such polyhedra with p 1 are described, as well as for all negative p with large enough numbers of edges.
Descriptors:
Subject Categories:
- Theoretical Mathematics